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Finding the Fourth Proportional to 54,876.92, 75,729.96 and 29,726.48

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Solution

The fourth proportional to 54,876.92, 75,729.96 and 29,726.48 is: 41,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.92 : 75,729.96 = 29,726.48 : x
  2. Step 2: Convert to fraction form
    54,876.92/75,729.96 = 29,726.48/x
  3. Step 3: Cross multiply
    54,876.92x = 75,729.96 × 29,726.48
  4. Step 4: Simplify right side
    54,876.92x = 2,251,185,141.34
  5. Step 5: Solve for x
    x = 2,251,185,141.34/54,876.92
  6. Step 6: Final answer
    x = 41,022.44

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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.