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Finding the Fourth Proportional to 67,147.84, 100,635.54 and 27,732.70

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Solution

The fourth proportional to 67,147.84, 100,635.54 and 27,732.70 is: 41,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,147.84 : 100,635.54 = 27,732.70 : x
  2. Step 2: Convert to fraction form
    67,147.84/100,635.54 = 27,732.70/x
  3. Step 3: Cross multiply
    67,147.84x = 100,635.54 × 27,732.70
  4. Step 4: Simplify right side
    67,147.84x = 2,790,895,240.16
  5. Step 5: Solve for x
    x = 2,790,895,240.16/67,147.84
  6. Step 6: Final answer
    x = 41,563.44

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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.