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Finding the Fourth Proportional to 34,129.92, 51,162 and 17,497.76

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Solution

The fourth proportional to 34,129.92, 51,162 and 17,497.76 is: 26,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.92 : 51,162 = 17,497.76 : x
  2. Step 2: Convert to fraction form
    34,129.92/51,162 = 17,497.76/x
  3. Step 3: Cross multiply
    34,129.92x = 51,162 × 17,497.76
  4. Step 4: Simplify right side
    34,129.92x = 895,220,397.12
  5. Step 5: Solve for x
    x = 895,220,397.12/34,129.92
  6. Step 6: Final answer
    x = 26,229.78

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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.