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Finding the Fourth Proportional to 54,810, 82,217.70 and 17,874

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Solution

The fourth proportional to 54,810, 82,217.70 and 17,874 is: 26,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,810 : 82,217.70 = 17,874 : x
  2. Step 2: Convert to fraction form
    54,810/82,217.70 = 17,874/x
  3. Step 3: Cross multiply
    54,810x = 82,217.70 × 17,874
  4. Step 4: Simplify right side
    54,810x = 1,469,559,169.80
  5. Step 5: Solve for x
    x = 1,469,559,169.80/54,810
  6. Step 6: Final answer
    x = 26,811.88

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