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Finding the Fourth Proportional to 73,702.20, 101,711.76 and 41,876.52

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Solution

The fourth proportional to 73,702.20, 101,711.76 and 41,876.52 is: 57,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.20 : 101,711.76 = 41,876.52 : x
  2. Step 2: Convert to fraction form
    73,702.20/101,711.76 = 41,876.52/x
  3. Step 3: Cross multiply
    73,702.20x = 101,711.76 × 41,876.52
  4. Step 4: Simplify right side
    73,702.20x = 4,259,334,551.88
  5. Step 5: Solve for x
    x = 4,259,334,551.88/73,702.20
  6. Step 6: Final answer
    x = 57,791.15

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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.