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Finding the Fourth Proportional to 87,491.40, 120,738.10 and 47,747.40

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Solution

The fourth proportional to 87,491.40, 120,738.10 and 47,747.40 is: 65,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,491.40 : 120,738.10 = 47,747.40 : x
  2. Step 2: Convert to fraction form
    87,491.40/120,738.10 = 47,747.40/x
  3. Step 3: Cross multiply
    87,491.40x = 120,738.10 × 47,747.40
  4. Step 4: Simplify right side
    87,491.40x = 5,764,930,355.94
  5. Step 5: Solve for x
    x = 5,764,930,355.94/87,491.40
  6. Step 6: Final answer
    x = 65,891.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.