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Finding the Fourth Proportional to 110,472, 165,399.24 and 59,689.12

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Solution

The fourth proportional to 110,472, 165,399.24 and 59,689.12 is: 89,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,472 : 165,399.24 = 59,689.12 : x
  2. Step 2: Convert to fraction form
    110,472/165,399.24 = 59,689.12/x
  3. Step 3: Cross multiply
    110,472x = 165,399.24 × 59,689.12
  4. Step 4: Simplify right side
    110,472x = 9,872,535,084.27
  5. Step 5: Solve for x
    x = 9,872,535,084.27/110,472
  6. Step 6: Final answer
    x = 89,366.85

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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.