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Finding the Fourth Proportional to 50,791.26, 76,202.49 and 22,734.96

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Solution

The fourth proportional to 50,791.26, 76,202.49 and 22,734.96 is: 34,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,791.26 : 76,202.49 = 22,734.96 : x
  2. Step 2: Convert to fraction form
    50,791.26/76,202.49 = 22,734.96/x
  3. Step 3: Cross multiply
    50,791.26x = 76,202.49 × 22,734.96
  4. Step 4: Simplify right side
    50,791.26x = 1,732,460,562.05
  5. Step 5: Solve for x
    x = 1,732,460,562.05/50,791.26
  6. Step 6: Final answer
    x = 34,109.42

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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.