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Finding the Fourth Proportional to 82,498.38, 113,761.71 and 48,957.90

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Solution

The fourth proportional to 82,498.38, 113,761.71 and 48,957.90 is: 67,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,498.38 : 113,761.71 = 48,957.90 : x
  2. Step 2: Convert to fraction form
    82,498.38/113,761.71 = 48,957.90/x
  3. Step 3: Cross multiply
    82,498.38x = 113,761.71 × 48,957.90
  4. Step 4: Simplify right side
    82,498.38x = 5,569,534,422.01
  5. Step 5: Solve for x
    x = 5,569,534,422.01/82,498.38
  6. Step 6: Final answer
    x = 67,510.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.