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Finding the Fourth Proportional to 49,539, 68,363.82 and 27,184.44

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Solution

The fourth proportional to 49,539, 68,363.82 and 27,184.44 is: 37,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539 : 68,363.82 = 27,184.44 : x
  2. Step 2: Convert to fraction form
    49,539/68,363.82 = 27,184.44/x
  3. Step 3: Cross multiply
    49,539x = 68,363.82 × 27,184.44
  4. Step 4: Simplify right side
    49,539x = 1,858,432,162.96
  5. Step 5: Solve for x
    x = 1,858,432,162.96/49,539
  6. Step 6: Final answer
    x = 37,514.53

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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.