For $5, this is not possible unless you do the work yourself. As others have said, you will not find a DC->DC voltage converter - particularly a large enough one for a fan - for $5.
I spent a while on the reverse - I wanted to go from 48V DC to 12V at about 3A. I have an electric vehicle and I wanted to power the headlights (12V) off of the primary battery pack (44V 19Ah lithium ion). I stared at this and threw various ideas around and decided that it basically can't be done for $5. For $20, maybe. Then I came up with a solution for my problem, but it won't help you.
For what it's worth, I would do 120V AC to 48V DC. Get a transformer, wind it for 2.5:1 (winding transformers is not as bad as you might think), and then a bridge rectifier and a couple of larger capacitors and you should be set. If you can use a transformer from something else, the whole thing should be relatively cheap to do - probably under $10.