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Finding the Fourth Proportional to 52,217.92, 72,098.20 and 32,101.80

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Solution

The fourth proportional to 52,217.92, 72,098.20 and 32,101.80 is: 44,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,217.92 : 72,098.20 = 32,101.80 : x
  2. Step 2: Convert to fraction form
    52,217.92/72,098.20 = 32,101.80/x
  3. Step 3: Cross multiply
    52,217.92x = 72,098.20 × 32,101.80
  4. Step 4: Simplify right side
    52,217.92x = 2,314,481,996.76
  5. Step 5: Solve for x
    x = 2,314,481,996.76/52,217.92
  6. Step 6: Final answer
    x = 44,323.52

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