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Finding the Fourth Proportional to 34,472.22, 51,711.87 and 9,512.27

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Solution

The fourth proportional to 34,472.22, 51,711.87 and 9,512.27 is: 14,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,472.22 : 51,711.87 = 9,512.27 : x
  2. Step 2: Convert to fraction form
    34,472.22/51,711.87 = 9,512.27/x
  3. Step 3: Cross multiply
    34,472.22x = 51,711.87 × 9,512.27
  4. Step 4: Simplify right side
    34,472.22x = 491,897,011.09
  5. Step 5: Solve for x
    x = 491,897,011.09/34,472.22
  6. Step 6: Final answer
    x = 14,269.37

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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.