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Finding the Fourth Proportional to 71,471.28, 107,191.80 and 24,081.96

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Solution

The fourth proportional to 71,471.28, 107,191.80 and 24,081.96 is: 36,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.28 : 107,191.80 = 24,081.96 : x
  2. Step 2: Convert to fraction form
    71,471.28/107,191.80 = 24,081.96/x
  3. Step 3: Cross multiply
    71,471.28x = 107,191.80 × 24,081.96
  4. Step 4: Simplify right side
    71,471.28x = 2,581,388,639.93
  5. Step 5: Solve for x
    x = 2,581,388,639.93/71,471.28
  6. Step 6: Final answer
    x = 36,117.85

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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.