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Finding the Fourth Proportional to 33,420.35, 50,136.84 and 13,431.39

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Solution

The fourth proportional to 33,420.35, 50,136.84 and 13,431.39 is: 20,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420.35 : 50,136.84 = 13,431.39 : x
  2. Step 2: Convert to fraction form
    33,420.35/50,136.84 = 13,431.39/x
  3. Step 3: Cross multiply
    33,420.35x = 50,136.84 × 13,431.39
  4. Step 4: Simplify right side
    33,420.35x = 673,407,451.41
  5. Step 5: Solve for x
    x = 673,407,451.41/33,420.35
  6. Step 6: Final answer
    x = 20,149.63

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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.