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Finding the Fourth Proportional to 71,593.65, 107,226.90 and 34,180.02

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Solution

The fourth proportional to 71,593.65, 107,226.90 and 34,180.02 is: 51,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,593.65 : 107,226.90 = 34,180.02 : x
  2. Step 2: Convert to fraction form
    71,593.65/107,226.90 = 34,180.02/x
  3. Step 3: Cross multiply
    71,593.65x = 107,226.90 × 34,180.02
  4. Step 4: Simplify right side
    71,593.65x = 3,665,017,586.54
  5. Step 5: Solve for x
    x = 3,665,017,586.54/71,593.65
  6. Step 6: Final answer
    x = 51,191.94

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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.