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Finding the Fourth Proportional to 92,414.46, 127,531.35 and 49,972.80

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Solution

The fourth proportional to 92,414.46, 127,531.35 and 49,972.80 is: 68,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,414.46 : 127,531.35 = 49,972.80 : x
  2. Step 2: Convert to fraction form
    92,414.46/127,531.35 = 49,972.80/x
  3. Step 3: Cross multiply
    92,414.46x = 127,531.35 × 49,972.80
  4. Step 4: Simplify right side
    92,414.46x = 6,373,098,647.28
  5. Step 5: Solve for x
    x = 6,373,098,647.28/92,414.46
  6. Step 6: Final answer
    x = 68,962.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.