I think you'll need more than 24V in to get 48V out... at least 36 or 40V RMS...
If you're doing it that way, because the OV will be referenced together, there really isn't much call for 2 bridge rectifiers anyhow...
This probably isn't the best appltication, someting more akin to a true voltage doubler would work... essentially another diode/cap stage in the 48 multiplier/shifter.
Keith