Given that
The percent of KBr = 48.2 %
That means 100 g of solution contains 48.2 g KBr and 51.8 g solvent
The number of moles of KBr = mass of KBr / Molar mass of KBr
= 48.2 g / 119 g/mol
= 0.405 mol
The mass of solvent = 51.8 g
= 0.0518 kg
Molality of solution = moles of solute / mass of solvent in kg
= 0.405 mol / 0.0518 kg
In first post 51.8 kg means if you take 100 kg of solution then the mass of solvent is 51.8 kg and the mass of solute is 42.2 kg.