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Finding the Fourth Proportional to 49,642.88, 68,507.17 and 27,286.88

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Solution

The fourth proportional to 49,642.88, 68,507.17 and 27,286.88 is: 37,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642.88 : 68,507.17 = 27,286.88 : x
  2. Step 2: Convert to fraction form
    49,642.88/68,507.17 = 27,286.88/x
  3. Step 3: Cross multiply
    49,642.88x = 68,507.17 × 27,286.88
  4. Step 4: Simplify right side
    49,642.88x = 1,869,346,516.18
  5. Step 5: Solve for x
    x = 1,869,346,516.18/49,642.88
  6. Step 6: Final answer
    x = 37,655.89

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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.