Cyclone style dust collector and hose size mayhem

So I want to connect a vacuum up to my table saw to reduce dust. I buy a cyclone-type dust collector. Then I sit and tie myself up in knots looking at the hoses, fittings and cannot work out what I need to complete the job.

Hose, collector and saw.

This all looks fairly straight forward until you consider the diameters of the hoses/fittings.

Ref Device Outside
Diameter (mm)
Inside
Diameter (mm)
1 Vacuum 35 n/a
2 Dust Collector 55 50
3 Dust Collector 55 50
4 Table Saw blade guard 38 n/a
5 Table Saw chip case 58 n/a

I’ll update this when I find the hoses and fittings required.