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Finding the Fourth Proportional to 83,694.78, 125,542.17 and 31,117.50

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Solution

The fourth proportional to 83,694.78, 125,542.17 and 31,117.50 is: 46,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,694.78 : 125,542.17 = 31,117.50 : x
  2. Step 2: Convert to fraction form
    83,694.78/125,542.17 = 31,117.50/x
  3. Step 3: Cross multiply
    83,694.78x = 125,542.17 × 31,117.50
  4. Step 4: Simplify right side
    83,694.78x = 3,906,558,474.98
  5. Step 5: Solve for x
    x = 3,906,558,474.98/83,694.78
  6. Step 6: Final answer
    x = 46,676.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.