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Finding the Fourth Proportional to 54,869.56, 75,748.26 and 34,747.48

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Solution

The fourth proportional to 54,869.56, 75,748.26 and 34,747.48 is: 47,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,869.56 : 75,748.26 = 34,747.48 : x
  2. Step 2: Convert to fraction form
    54,869.56/75,748.26 = 34,747.48/x
  3. Step 3: Cross multiply
    54,869.56x = 75,748.26 × 34,747.48
  4. Step 4: Simplify right side
    54,869.56x = 2,632,061,149.38
  5. Step 5: Solve for x
    x = 2,632,061,149.38/54,869.56
  6. Step 6: Final answer
    x = 47,969.42

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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.