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Finding the Fourth Proportional to 59,478, 89,229.96 and 22,542

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Solution

The fourth proportional to 59,478, 89,229.96 and 22,542 is: 33,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,478 : 89,229.96 = 22,542 : x
  2. Step 2: Convert to fraction form
    59,478/89,229.96 = 22,542/x
  3. Step 3: Cross multiply
    59,478x = 89,229.96 × 22,542
  4. Step 4: Simplify right side
    59,478x = 2,011,421,758.32
  5. Step 5: Solve for x
    x = 2,011,421,758.32/59,478
  6. Step 6: Final answer
    x = 33,817.91

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