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Finding the Fourth Proportional to 54,781.50, 82,184.49 and 16,827.96

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Solution

The fourth proportional to 54,781.50, 82,184.49 and 16,827.96 is: 25,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,781.50 : 82,184.49 = 16,827.96 : x
  2. Step 2: Convert to fraction form
    54,781.50/82,184.49 = 16,827.96/x
  3. Step 3: Cross multiply
    54,781.50x = 82,184.49 × 16,827.96
  4. Step 4: Simplify right side
    54,781.50x = 1,382,997,310.34
  5. Step 5: Solve for x
    x = 1,382,997,310.34/54,781.50
  6. Step 6: Final answer
    x = 25,245.70

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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.