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Finding the Fourth Proportional to 83,217, 114,839.46 and 45,491.52

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Solution

The fourth proportional to 83,217, 114,839.46 and 45,491.52 is: 62,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217 : 114,839.46 = 45,491.52 : x
  2. Step 2: Convert to fraction form
    83,217/114,839.46 = 45,491.52/x
  3. Step 3: Cross multiply
    83,217x = 114,839.46 × 45,491.52
  4. Step 4: Simplify right side
    83,217x = 5,224,221,591.38
  5. Step 5: Solve for x
    x = 5,224,221,591.38/83,217
  6. Step 6: Final answer
    x = 62,778.30

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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.