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Finding the Fourth Proportional to 49,991.72, 74,833.14 and 27,446

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Solution

The fourth proportional to 49,991.72, 74,833.14 and 27,446 is: 41,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,991.72 : 74,833.14 = 27,446 : x
  2. Step 2: Convert to fraction form
    49,991.72/74,833.14 = 27,446/x
  3. Step 3: Cross multiply
    49,991.72x = 74,833.14 × 27,446
  4. Step 4: Simplify right side
    49,991.72x = 2,053,870,360.44
  5. Step 5: Solve for x
    x = 2,053,870,360.44/49,991.72
  6. Step 6: Final answer
    x = 41,084.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.