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Finding the Fourth Proportional to 80,115.92, 120,123 and 42,652.88

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Solution

The fourth proportional to 80,115.92, 120,123 and 42,652.88 is: 63,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,115.92 : 120,123 = 42,652.88 : x
  2. Step 2: Convert to fraction form
    80,115.92/120,123 = 42,652.88/x
  3. Step 3: Cross multiply
    80,115.92x = 120,123 × 42,652.88
  4. Step 4: Simplify right side
    80,115.92x = 5,123,591,904.24
  5. Step 5: Solve for x
    x = 5,123,591,904.24/80,115.92
  6. Step 6: Final answer
    x = 63,952.23

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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.