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Finding the Fourth Proportional to 54,976.80, 82,469.76 and 17,542.32

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Solution

The fourth proportional to 54,976.80, 82,469.76 and 17,542.32 is: 26,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,976.80 : 82,469.76 = 17,542.32 : x
  2. Step 2: Convert to fraction form
    54,976.80/82,469.76 = 17,542.32/x
  3. Step 3: Cross multiply
    54,976.80x = 82,469.76 × 17,542.32
  4. Step 4: Simplify right side
    54,976.80x = 1,446,710,920.24
  5. Step 5: Solve for x
    x = 1,446,710,920.24/54,976.80
  6. Step 6: Final answer
    x = 26,314.94

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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.