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Finding the Fourth Proportional to 71,902.52, 107,868.36 and 27,530.72

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Solution

The fourth proportional to 71,902.52, 107,868.36 and 27,530.72 is: 41,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.52 : 107,868.36 = 27,530.72 : x
  2. Step 2: Convert to fraction form
    71,902.52/107,868.36 = 27,530.72/x
  3. Step 3: Cross multiply
    71,902.52x = 107,868.36 × 27,530.72
  4. Step 4: Simplify right side
    71,902.52x = 2,969,693,616.02
  5. Step 5: Solve for x
    x = 2,969,693,616.02/71,902.52
  6. Step 6: Final answer
    x = 41,301.66

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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.