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Finding the Fourth Proportional to 65,992.30, 91,082.61 and 39,149.71

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Solution

The fourth proportional to 65,992.30, 91,082.61 and 39,149.71 is: 54,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,992.30 : 91,082.61 = 39,149.71 : x
  2. Step 2: Convert to fraction form
    65,992.30/91,082.61 = 39,149.71/x
  3. Step 3: Cross multiply
    65,992.30x = 91,082.61 × 39,149.71
  4. Step 4: Simplify right side
    65,992.30x = 3,565,857,116.38
  5. Step 5: Solve for x
    x = 3,565,857,116.38/65,992.30
  6. Step 6: Final answer
    x = 54,034.45

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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.