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Finding the Fourth Proportional to 49,503, 68,314.14 and 27,147

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Solution

The fourth proportional to 49,503, 68,314.14 and 27,147 is: 37,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,503 : 68,314.14 = 27,147 : x
  2. Step 2: Convert to fraction form
    49,503/68,314.14 = 27,147/x
  3. Step 3: Cross multiply
    49,503x = 68,314.14 × 27,147
  4. Step 4: Simplify right side
    49,503x = 1,854,523,958.58
  5. Step 5: Solve for x
    x = 1,854,523,958.58/49,503
  6. Step 6: Final answer
    x = 37,462.86

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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.