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Finding the Fourth Proportional to 71,251.72, 106,834.36 and 49,040.70

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Solution

The fourth proportional to 71,251.72, 106,834.36 and 49,040.70 is: 73,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,251.72 : 106,834.36 = 49,040.70 : x
  2. Step 2: Convert to fraction form
    71,251.72/106,834.36 = 49,040.70/x
  3. Step 3: Cross multiply
    71,251.72x = 106,834.36 × 49,040.70
  4. Step 4: Simplify right side
    71,251.72x = 5,239,231,798.45
  5. Step 5: Solve for x
    x = 5,239,231,798.45/71,251.72
  6. Step 6: Final answer
    x = 73,531.30

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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.