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Finding the Fourth Proportional to 33,781.25, 50,677.38 and 10,407.69

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Solution

The fourth proportional to 33,781.25, 50,677.38 and 10,407.69 is: 15,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.25 : 50,677.38 = 10,407.69 : x
  2. Step 2: Convert to fraction form
    33,781.25/50,677.38 = 10,407.69/x
  3. Step 3: Cross multiply
    33,781.25x = 50,677.38 × 10,407.69
  4. Step 4: Simplify right side
    33,781.25x = 527,434,504.96
  5. Step 5: Solve for x
    x = 527,434,504.96/33,781.25
  6. Step 6: Final answer
    x = 15,613.23

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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.