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Finding the Fourth Proportional to 83,700.78, 125,551.17 and 31,123.50

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Solution

The fourth proportional to 83,700.78, 125,551.17 and 31,123.50 is: 46,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700.78 : 125,551.17 = 31,123.50 : x
  2. Step 2: Convert to fraction form
    83,700.78/125,551.17 = 31,123.50/x
  3. Step 3: Cross multiply
    83,700.78x = 125,551.17 × 31,123.50
  4. Step 4: Simplify right side
    83,700.78x = 3,907,591,839.50
  5. Step 5: Solve for x
    x = 3,907,591,839.50/83,700.78
  6. Step 6: Final answer
    x = 46,685.25

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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.