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Finding the Fourth Proportional to 54,982.26, 82,473.26 and 13,429.26

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Solution

The fourth proportional to 54,982.26, 82,473.26 and 13,429.26 is: 20,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,982.26 : 82,473.26 = 13,429.26 : x
  2. Step 2: Convert to fraction form
    54,982.26/82,473.26 = 13,429.26/x
  3. Step 3: Cross multiply
    54,982.26x = 82,473.26 × 13,429.26
  4. Step 4: Simplify right side
    54,982.26x = 1,107,554,784.44
  5. Step 5: Solve for x
    x = 1,107,554,784.44/54,982.26
  6. Step 6: Final answer
    x = 20,143.86

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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.