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Finding the Fourth Proportional to 39,747.96, 54,849.96 and 23,824.44

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Solution

The fourth proportional to 39,747.96, 54,849.96 and 23,824.44 is: 32,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,747.96 : 54,849.96 = 23,824.44 : x
  2. Step 2: Convert to fraction form
    39,747.96/54,849.96 = 23,824.44/x
  3. Step 3: Cross multiply
    39,747.96x = 54,849.96 × 23,824.44
  4. Step 4: Simplify right side
    39,747.96x = 1,306,769,581.02
  5. Step 5: Solve for x
    x = 1,306,769,581.02/39,747.96
  6. Step 6: Final answer
    x = 32,876.39

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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.