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Finding the Fourth Proportional to 49,744.38, 68,647.02 and 27,084.66

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Solution

The fourth proportional to 49,744.38, 68,647.02 and 27,084.66 is: 37,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,744.38 : 68,647.02 = 27,084.66 : x
  2. Step 2: Convert to fraction form
    49,744.38/68,647.02 = 27,084.66/x
  3. Step 3: Cross multiply
    49,744.38x = 68,647.02 × 27,084.66
  4. Step 4: Simplify right side
    49,744.38x = 1,859,281,196.71
  5. Step 5: Solve for x
    x = 1,859,281,196.71/49,744.38
  6. Step 6: Final answer
    x = 37,376.71

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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.