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Finding the Fourth Proportional to 71,951.19, 107,861.04 and 25,178.55

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Solution

The fourth proportional to 71,951.19, 107,861.04 and 25,178.55 is: 37,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,951.19 : 107,861.04 = 25,178.55 : x
  2. Step 2: Convert to fraction form
    71,951.19/107,861.04 = 25,178.55/x
  3. Step 3: Cross multiply
    71,951.19x = 107,861.04 × 25,178.55
  4. Step 4: Simplify right side
    71,951.19x = 2,715,784,588.69
  5. Step 5: Solve for x
    x = 2,715,784,588.69/71,951.19
  6. Step 6: Final answer
    x = 37,744.82

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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.