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Finding the Fourth Proportional to 67,144.87, 100,738.14 and 27,705.16

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Solution

The fourth proportional to 67,144.87, 100,738.14 and 27,705.16 is: 41,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144.87 : 100,738.14 = 27,705.16 : x
  2. Step 2: Convert to fraction form
    67,144.87/100,738.14 = 27,705.16/x
  3. Step 3: Cross multiply
    67,144.87x = 100,738.14 × 27,705.16
  4. Step 4: Simplify right side
    67,144.87x = 2,790,966,286.80
  5. Step 5: Solve for x
    x = 2,790,966,286.80/67,144.87
  6. Step 6: Final answer
    x = 41,566.34

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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.