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Finding the Fourth Proportional to 78,517.89, 108,356.13 and 42,708.20

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Solution

The fourth proportional to 78,517.89, 108,356.13 and 42,708.20 is: 58,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,517.89 : 108,356.13 = 42,708.20 : x
  2. Step 2: Convert to fraction form
    78,517.89/108,356.13 = 42,708.20/x
  3. Step 3: Cross multiply
    78,517.89x = 108,356.13 × 42,708.20
  4. Step 4: Simplify right side
    78,517.89x = 4,627,694,729.49
  5. Step 5: Solve for x
    x = 4,627,694,729.49/78,517.89
  6. Step 6: Final answer
    x = 58,938.09

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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.