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Finding the Fourth Proportional to 65,151.95, 97,891.13 and 41,469.57

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Solution

The fourth proportional to 65,151.95, 97,891.13 and 41,469.57 is: 62,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151.95 : 97,891.13 = 41,469.57 : x
  2. Step 2: Convert to fraction form
    65,151.95/97,891.13 = 41,469.57/x
  3. Step 3: Cross multiply
    65,151.95x = 97,891.13 × 41,469.57
  4. Step 4: Simplify right side
    65,151.95x = 4,059,503,171.59
  5. Step 5: Solve for x
    x = 4,059,503,171.59/65,151.95
  6. Step 6: Final answer
    x = 62,308.24

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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.