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Finding the Fourth Proportional to 34,469.76, 51,691.20 and 14,757.76

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Solution

The fourth proportional to 34,469.76, 51,691.20 and 14,757.76 is: 22,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,469.76 : 51,691.20 = 14,757.76 : x
  2. Step 2: Convert to fraction form
    34,469.76/51,691.20 = 14,757.76/x
  3. Step 3: Cross multiply
    34,469.76x = 51,691.20 × 14,757.76
  4. Step 4: Simplify right side
    34,469.76x = 762,846,323.71
  5. Step 5: Solve for x
    x = 762,846,323.71/34,469.76
  6. Step 6: Final answer
    x = 22,130.89

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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.