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Finding the Fourth Proportional to 71,889.80, 107,882.69 and 25,142.67

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Solution

The fourth proportional to 71,889.80, 107,882.69 and 25,142.67 is: 37,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,889.80 : 107,882.69 = 25,142.67 : x
  2. Step 2: Convert to fraction form
    71,889.80/107,882.69 = 25,142.67/x
  3. Step 3: Cross multiply
    71,889.80x = 107,882.69 × 25,142.67
  4. Step 4: Simplify right side
    71,889.80x = 2,712,458,747.67
  5. Step 5: Solve for x
    x = 2,712,458,747.67/71,889.80
  6. Step 6: Final answer
    x = 37,730.79

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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.