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Finding the Fourth Proportional to 71,169.73, 106,767.57 and 23,780.31

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Solution

The fourth proportional to 71,169.73, 106,767.57 and 23,780.31 is: 35,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,169.73 : 106,767.57 = 23,780.31 : x
  2. Step 2: Convert to fraction form
    71,169.73/106,767.57 = 23,780.31/x
  3. Step 3: Cross multiply
    71,169.73x = 106,767.57 × 23,780.31
  4. Step 4: Simplify right side
    71,169.73x = 2,538,965,912.55
  5. Step 5: Solve for x
    x = 2,538,965,912.55/71,169.73
  6. Step 6: Final answer
    x = 35,674.80

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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.