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Finding the Fourth Proportional to 33,542.78, 50,311.26 and 11,355.66

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Solution

The fourth proportional to 33,542.78, 50,311.26 and 11,355.66 is: 17,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.78 : 50,311.26 = 11,355.66 : x
  2. Step 2: Convert to fraction form
    33,542.78/50,311.26 = 11,355.66/x
  3. Step 3: Cross multiply
    33,542.78x = 50,311.26 × 11,355.66
  4. Step 4: Simplify right side
    33,542.78x = 571,317,562.73
  5. Step 5: Solve for x
    x = 571,317,562.73/33,542.78
  6. Step 6: Final answer
    x = 17,032.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.