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Finding the Fourth Proportional to 71,414.96, 98,592.28 and 48,787.76

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Solution

The fourth proportional to 71,414.96, 98,592.28 and 48,787.76 is: 67,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.96 : 98,592.28 = 48,787.76 : x
  2. Step 2: Convert to fraction form
    71,414.96/98,592.28 = 48,787.76/x
  3. Step 3: Cross multiply
    71,414.96x = 98,592.28 × 48,787.76
  4. Step 4: Simplify right side
    71,414.96x = 4,810,096,494.49
  5. Step 5: Solve for x
    x = 4,810,096,494.49/71,414.96
  6. Step 6: Final answer
    x = 67,354.19

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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.