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Finding the Fourth Proportional to 33,865.26, 50,781.16 and 19,828.82

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Solution

The fourth proportional to 33,865.26, 50,781.16 and 19,828.82 is: 29,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,865.26 : 50,781.16 = 19,828.82 : x
  2. Step 2: Convert to fraction form
    33,865.26/50,781.16 = 19,828.82/x
  3. Step 3: Cross multiply
    33,865.26x = 50,781.16 × 19,828.82
  4. Step 4: Simplify right side
    33,865.26x = 1,006,930,481.03
  5. Step 5: Solve for x
    x = 1,006,930,481.03/33,865.26
  6. Step 6: Final answer
    x = 29,733.43

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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.