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Finding the Fourth Proportional to 71,531.73, 107,299.85 and 34,095.87

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Solution

The fourth proportional to 71,531.73, 107,299.85 and 34,095.87 is: 51,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,531.73 : 107,299.85 = 34,095.87 : x
  2. Step 2: Convert to fraction form
    71,531.73/107,299.85 = 34,095.87/x
  3. Step 3: Cross multiply
    71,531.73x = 107,299.85 × 34,095.87
  4. Step 4: Simplify right side
    71,531.73x = 3,658,481,566.14
  5. Step 5: Solve for x
    x = 3,658,481,566.14/71,531.73
  6. Step 6: Final answer
    x = 51,144.88

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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.