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Finding the Fourth Proportional to 100,543.32, 150,822.30 and 33,961.32

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Solution

The fourth proportional to 100,543.32, 150,822.30 and 33,961.32 is: 50,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,543.32 : 150,822.30 = 33,961.32 : x
  2. Step 2: Convert to fraction form
    100,543.32/150,822.30 = 33,961.32/x
  3. Step 3: Cross multiply
    100,543.32x = 150,822.30 × 33,961.32
  4. Step 4: Simplify right side
    100,543.32x = 5,122,124,393.44
  5. Step 5: Solve for x
    x = 5,122,124,393.44/100,543.32
  6. Step 6: Final answer
    x = 50,944.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.