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Finding the Fourth Proportional to 80,335.98, 120,347.13 and 38,156.04

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Solution

The fourth proportional to 80,335.98, 120,347.13 and 38,156.04 is: 57,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,335.98 : 120,347.13 = 38,156.04 : x
  2. Step 2: Convert to fraction form
    80,335.98/120,347.13 = 38,156.04/x
  3. Step 3: Cross multiply
    80,335.98x = 120,347.13 × 38,156.04
  4. Step 4: Simplify right side
    80,335.98x = 4,591,969,906.17
  5. Step 5: Solve for x
    x = 4,591,969,906.17/80,335.98
  6. Step 6: Final answer
    x = 57,159.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.