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Finding the Fourth Proportional to 52,002.92, 71,764.08 and 28,129.52

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Solution

The fourth proportional to 52,002.92, 71,764.08 and 28,129.52 is: 38,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.92 : 71,764.08 = 28,129.52 : x
  2. Step 2: Convert to fraction form
    52,002.92/71,764.08 = 28,129.52/x
  3. Step 3: Cross multiply
    52,002.92x = 71,764.08 × 28,129.52
  4. Step 4: Simplify right side
    52,002.92x = 2,018,689,123.64
  5. Step 5: Solve for x
    x = 2,018,689,123.64/52,002.92
  6. Step 6: Final answer
    x = 38,818.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.