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Finding the Fourth Proportional to 82,523.16, 123,764.82 and 38,107.22

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Solution

The fourth proportional to 82,523.16, 123,764.82 and 38,107.22 is: 57,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.16 : 123,764.82 = 38,107.22 : x
  2. Step 2: Convert to fraction form
    82,523.16/123,764.82 = 38,107.22/x
  3. Step 3: Cross multiply
    82,523.16x = 123,764.82 × 38,107.22
  4. Step 4: Simplify right side
    82,523.16x = 4,716,332,605.18
  5. Step 5: Solve for x
    x = 4,716,332,605.18/82,523.16
  6. Step 6: Final answer
    x = 57,151.62

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Why These Related Problems?

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