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Finding the Fourth Proportional to 67,306.38, 92,883.42 and 37,092.78

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Solution

The fourth proportional to 67,306.38, 92,883.42 and 37,092.78 is: 51,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306.38 : 92,883.42 = 37,092.78 : x
  2. Step 2: Convert to fraction form
    67,306.38/92,883.42 = 37,092.78/x
  3. Step 3: Cross multiply
    67,306.38x = 92,883.42 × 37,092.78
  4. Step 4: Simplify right side
    67,306.38x = 3,445,304,263.71
  5. Step 5: Solve for x
    x = 3,445,304,263.71/67,306.38
  6. Step 6: Final answer
    x = 51,188.38

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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.