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Finding the Fourth Proportional to 83,542.39, 115,294.60 and 47,731.63

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Solution

The fourth proportional to 83,542.39, 115,294.60 and 47,731.63 is: 65,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.39 : 115,294.60 = 47,731.63 : x
  2. Step 2: Convert to fraction form
    83,542.39/115,294.60 = 47,731.63/x
  3. Step 3: Cross multiply
    83,542.39x = 115,294.60 × 47,731.63
  4. Step 4: Simplify right side
    83,542.39x = 5,503,198,949.54
  5. Step 5: Solve for x
    x = 5,503,198,949.54/83,542.39
  6. Step 6: Final answer
    x = 65,873.13

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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.