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Finding the Fourth Proportional to 54,876.63, 75,729.75 and 29,726.13

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Solution

The fourth proportional to 54,876.63, 75,729.75 and 29,726.13 is: 41,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.63 : 75,729.75 = 29,726.13 : x
  2. Step 2: Convert to fraction form
    54,876.63/75,729.75 = 29,726.13/x
  3. Step 3: Cross multiply
    54,876.63x = 75,729.75 × 29,726.13
  4. Step 4: Simplify right side
    54,876.63x = 2,251,152,393.37
  5. Step 5: Solve for x
    x = 2,251,152,393.37/54,876.63
  6. Step 6: Final answer
    x = 41,022.06

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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.