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Finding the Fourth Proportional to 49,667.38, 68,540.98 and 27,311.38

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Solution

The fourth proportional to 49,667.38, 68,540.98 and 27,311.38 is: 37,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,667.38 : 68,540.98 = 27,311.38 : x
  2. Step 2: Convert to fraction form
    49,667.38/68,540.98 = 27,311.38/x
  3. Step 3: Cross multiply
    49,667.38x = 68,540.98 × 27,311.38
  4. Step 4: Simplify right side
    49,667.38x = 1,871,948,750.35
  5. Step 5: Solve for x
    x = 1,871,948,750.35/49,667.38
  6. Step 6: Final answer
    x = 37,689.70

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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.