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Finding the Fourth Proportional to 54,960.53, 82,446.75 and 17,511.80

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Solution

The fourth proportional to 54,960.53, 82,446.75 and 17,511.80 is: 26,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,960.53 : 82,446.75 = 17,511.80 : x
  2. Step 2: Convert to fraction form
    54,960.53/82,446.75 = 17,511.80/x
  3. Step 3: Cross multiply
    54,960.53x = 82,446.75 × 17,511.80
  4. Step 4: Simplify right side
    54,960.53x = 1,443,790,584.42
  5. Step 5: Solve for x
    x = 1,443,790,584.42/54,960.53
  6. Step 6: Final answer
    x = 26,269.59

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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.