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Finding the Fourth Proportional to 117,882.40, 176,834.40 and 47,747.20

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Solution

The fourth proportional to 117,882.40, 176,834.40 and 47,747.20 is: 71,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,882.40 : 176,834.40 = 47,747.20 : x
  2. Step 2: Convert to fraction form
    117,882.40/176,834.40 = 47,747.20/x
  3. Step 3: Cross multiply
    117,882.40x = 176,834.40 × 47,747.20
  4. Step 4: Simplify right side
    117,882.40x = 8,443,347,463.68
  5. Step 5: Solve for x
    x = 8,443,347,463.68/117,882.40
  6. Step 6: Final answer
    x = 71,625.17

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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.