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Finding the Fourth Proportional to 71,763.57, 107,652.65 and 27,427.61

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Solution

The fourth proportional to 71,763.57, 107,652.65 and 27,427.61 is: 41,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.57 : 107,652.65 = 27,427.61 : x
  2. Step 2: Convert to fraction form
    71,763.57/107,652.65 = 27,427.61/x
  3. Step 3: Cross multiply
    71,763.57x = 107,652.65 × 27,427.61
  4. Step 4: Simplify right side
    71,763.57x = 2,952,655,031.66
  5. Step 5: Solve for x
    x = 2,952,655,031.66/71,763.57
  6. Step 6: Final answer
    x = 41,144.20

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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.