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Finding the Fourth Proportional to 92,382.12, 138,066.46 and 67,474.62

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Solution

The fourth proportional to 92,382.12, 138,066.46 and 67,474.62 is: 100,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,382.12 : 138,066.46 = 67,474.62 : x
  2. Step 2: Convert to fraction form
    92,382.12/138,066.46 = 67,474.62/x
  3. Step 3: Cross multiply
    92,382.12x = 138,066.46 × 67,474.62
  4. Step 4: Simplify right side
    92,382.12x = 9,315,981,754.56
  5. Step 5: Solve for x
    x = 9,315,981,754.56/92,382.12
  6. Step 6: Final answer
    x = 100,841.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.