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Finding the Fourth Proportional to 54,843.76, 75,684.48 and 29,693.28

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Solution

The fourth proportional to 54,843.76, 75,684.48 and 29,693.28 is: 40,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.76 : 75,684.48 = 29,693.28 : x
  2. Step 2: Convert to fraction form
    54,843.76/75,684.48 = 29,693.28/x
  3. Step 3: Cross multiply
    54,843.76x = 75,684.48 × 29,693.28
  4. Step 4: Simplify right side
    54,843.76x = 2,247,320,456.29
  5. Step 5: Solve for x
    x = 2,247,320,456.29/54,843.76
  6. Step 6: Final answer
    x = 40,976.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.