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Finding the Fourth Proportional to 73,702.56, 101,712.27 and 41,876.85

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Solution

The fourth proportional to 73,702.56, 101,712.27 and 41,876.85 is: 57,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.56 : 101,712.27 = 41,876.85 : x
  2. Step 2: Convert to fraction form
    73,702.56/101,712.27 = 41,876.85/x
  3. Step 3: Cross multiply
    73,702.56x = 101,712.27 × 41,876.85
  4. Step 4: Simplify right side
    73,702.56x = 4,259,389,473.95
  5. Step 5: Solve for x
    x = 4,259,389,473.95/73,702.56
  6. Step 6: Final answer
    x = 57,791.61

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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.