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Finding the Fourth Proportional to 65,129.87, 97,691.76 and 27,163.46

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Solution

The fourth proportional to 65,129.87, 97,691.76 and 27,163.46 is: 40,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.87 : 97,691.76 = 27,163.46 : x
  2. Step 2: Convert to fraction form
    65,129.87/97,691.76 = 27,163.46/x
  3. Step 3: Cross multiply
    65,129.87x = 97,691.76 × 27,163.46
  4. Step 4: Simplify right side
    65,129.87x = 2,653,645,726.63
  5. Step 5: Solve for x
    x = 2,653,645,726.63/65,129.87
  6. Step 6: Final answer
    x = 40,743.92

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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.