Paul T is $50 / hour, so to prove I can do better I charge $51 / hour.
Lene (my wife), before she met me, was a complete beginner and wanted to become a great dancer and did the same calculation as you. She then went over to NZ and spent several thousand dollars on private coaching, because it was cheaper than learning any other way. Did she improve ludicrously, you'd better believe it. And she met me. Remember the NZ woman you met on your last trip Gus? Brown eyes....
So there are some benefits to spending time in a banana republic!