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Finding the Fourth Proportional to 52,044.69, 71,821.52 and 28,171.31

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Solution

The fourth proportional to 52,044.69, 71,821.52 and 28,171.31 is: 38,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,044.69 : 71,821.52 = 28,171.31 : x
  2. Step 2: Convert to fraction form
    52,044.69/71,821.52 = 28,171.31/x
  3. Step 3: Cross multiply
    52,044.69x = 71,821.52 × 28,171.31
  4. Step 4: Simplify right side
    52,044.69x = 2,023,306,304.59
  5. Step 5: Solve for x
    x = 2,023,306,304.59/52,044.69
  6. Step 6: Final answer
    x = 38,876.33

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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.