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Finding the Fourth Proportional to 71,081.25, 106,614.56 and 23,691.23

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Solution

The fourth proportional to 71,081.25, 106,614.56 and 23,691.23 is: 35,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,081.25 : 106,614.56 = 23,691.23 : x
  2. Step 2: Convert to fraction form
    71,081.25/106,614.56 = 23,691.23/x
  3. Step 3: Cross multiply
    71,081.25x = 106,614.56 × 23,691.23
  4. Step 4: Simplify right side
    71,081.25x = 2,525,829,410.78
  5. Step 5: Solve for x
    x = 2,525,829,410.78/71,081.25
  6. Step 6: Final answer
    x = 35,534.40

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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.