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Finding the Fourth Proportional to 100,414.08, 150,528.96 and 34,704

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Solution

The fourth proportional to 100,414.08, 150,528.96 and 34,704 is: 52,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.08 : 150,528.96 = 34,704 : x
  2. Step 2: Convert to fraction form
    100,414.08/150,528.96 = 34,704/x
  3. Step 3: Cross multiply
    100,414.08x = 150,528.96 × 34,704
  4. Step 4: Simplify right side
    100,414.08x = 5,223,957,027.84
  5. Step 5: Solve for x
    x = 5,223,957,027.84/100,414.08
  6. Step 6: Final answer
    x = 52,024.15

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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.