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Finding the Fourth Proportional to 54,507.78, 81,723.96 and 27,801.96

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Solution

The fourth proportional to 54,507.78, 81,723.96 and 27,801.96 is: 41,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,507.78 : 81,723.96 = 27,801.96 : x
  2. Step 2: Convert to fraction form
    54,507.78/81,723.96 = 27,801.96/x
  3. Step 3: Cross multiply
    54,507.78x = 81,723.96 × 27,801.96
  4. Step 4: Simplify right side
    54,507.78x = 2,272,086,266.96
  5. Step 5: Solve for x
    x = 2,272,086,266.96/54,507.78
  6. Step 6: Final answer
    x = 41,683.71

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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.