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Finding the Fourth Proportional to 83,896.62, 125,866.71 and 31,306.50

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Solution

The fourth proportional to 83,896.62, 125,866.71 and 31,306.50 is: 46,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.62 : 125,866.71 = 31,306.50 : x
  2. Step 2: Convert to fraction form
    83,896.62/125,866.71 = 31,306.50/x
  3. Step 3: Cross multiply
    83,896.62x = 125,866.71 × 31,306.50
  4. Step 4: Simplify right side
    83,896.62x = 3,940,446,156.62
  5. Step 5: Solve for x
    x = 3,940,446,156.62/83,896.62
  6. Step 6: Final answer
    x = 46,967.88

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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.