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Finding the Fourth Proportional to 49,157.62, 67,843.28 and 27,940.07

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Solution

The fourth proportional to 49,157.62, 67,843.28 and 27,940.07 is: 38,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,157.62 : 67,843.28 = 27,940.07 : x
  2. Step 2: Convert to fraction form
    49,157.62/67,843.28 = 27,940.07/x
  3. Step 3: Cross multiply
    49,157.62x = 67,843.28 × 27,940.07
  4. Step 4: Simplify right side
    49,157.62x = 1,895,546,231.69
  5. Step 5: Solve for x
    x = 1,895,546,231.69/49,157.62
  6. Step 6: Final answer
    x = 38,560.58

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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.