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Finding the Fourth Proportional to 49,161.67, 67,843.58 and 27,941.09

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Solution

The fourth proportional to 49,161.67, 67,843.58 and 27,941.09 is: 38,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,161.67 : 67,843.58 = 27,941.09 : x
  2. Step 2: Convert to fraction form
    49,161.67/67,843.58 = 27,941.09/x
  3. Step 3: Cross multiply
    49,161.67x = 67,843.58 × 27,941.09
  4. Step 4: Simplify right side
    49,161.67x = 1,895,623,095.78
  5. Step 5: Solve for x
    x = 1,895,623,095.78/49,161.67
  6. Step 6: Final answer
    x = 38,558.97

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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.