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Finding the Fourth Proportional to 49,181.31, 67,869.86 and 27,960.57

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Solution

The fourth proportional to 49,181.31, 67,869.86 and 27,960.57 is: 38,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,181.31 : 67,869.86 = 27,960.57 : x
  2. Step 2: Convert to fraction form
    49,181.31/67,869.86 = 27,960.57/x
  3. Step 3: Cross multiply
    49,181.31x = 67,869.86 × 27,960.57
  4. Step 4: Simplify right side
    49,181.31x = 1,897,679,831.62
  5. Step 5: Solve for x
    x = 1,897,679,831.62/49,181.31
  6. Step 6: Final answer
    x = 38,585.39

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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.