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Finding the Fourth Proportional to 82,732.38, 114,171.57 and 45,006.72

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Solution

The fourth proportional to 82,732.38, 114,171.57 and 45,006.72 is: 62,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,732.38 : 114,171.57 = 45,006.72 : x
  2. Step 2: Convert to fraction form
    82,732.38/114,171.57 = 45,006.72/x
  3. Step 3: Cross multiply
    82,732.38x = 114,171.57 × 45,006.72
  4. Step 4: Simplify right side
    82,732.38x = 5,138,487,882.95
  5. Step 5: Solve for x
    x = 5,138,487,882.95/82,732.38
  6. Step 6: Final answer
    x = 62,109.76

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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.