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Finding the Fourth Proportional to 49,138.49, 67,811.11 and 27,917.78

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Solution

The fourth proportional to 49,138.49, 67,811.11 and 27,917.78 is: 38,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,138.49 : 67,811.11 = 27,917.78 : x
  2. Step 2: Convert to fraction form
    49,138.49/67,811.11 = 27,917.78/x
  3. Step 3: Cross multiply
    49,138.49x = 67,811.11 × 27,917.78
  4. Step 4: Simplify right side
    49,138.49x = 1,893,135,241.69
  5. Step 5: Solve for x
    x = 1,893,135,241.69/49,138.49
  6. Step 6: Final answer
    x = 38,526.53

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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.