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Finding the Fourth Proportional to 54,755.69, 82,133.31 and 21,452.24

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Solution

The fourth proportional to 54,755.69, 82,133.31 and 21,452.24 is: 32,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,755.69 : 82,133.31 = 21,452.24 : x
  2. Step 2: Convert to fraction form
    54,755.69/82,133.31 = 21,452.24/x
  3. Step 3: Cross multiply
    54,755.69x = 82,133.31 × 21,452.24
  4. Step 4: Simplify right side
    54,755.69x = 1,761,942,960.19
  5. Step 5: Solve for x
    x = 1,761,942,960.19/54,755.69
  6. Step 6: Final answer
    x = 32,178.26

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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.