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Finding the Fourth Proportional to 47,558.14, 65,614.11 and 27,414.38

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Solution

The fourth proportional to 47,558.14, 65,614.11 and 27,414.38 is: 37,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,558.14 : 65,614.11 = 27,414.38 : x
  2. Step 2: Convert to fraction form
    47,558.14/65,614.11 = 27,414.38/x
  3. Step 3: Cross multiply
    47,558.14x = 65,614.11 × 27,414.38
  4. Step 4: Simplify right side
    47,558.14x = 1,798,770,144.90
  5. Step 5: Solve for x
    x = 1,798,770,144.90/47,558.14
  6. Step 6: Final answer
    x = 37,822.55

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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.