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Finding the Fourth Proportional to 33,389.50, 50,084.24 and 13,408.12

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Solution

The fourth proportional to 33,389.50, 50,084.24 and 13,408.12 is: 20,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,389.50 : 50,084.24 = 13,408.12 : x
  2. Step 2: Convert to fraction form
    33,389.50/50,084.24 = 13,408.12/x
  3. Step 3: Cross multiply
    33,389.50x = 50,084.24 × 13,408.12
  4. Step 4: Simplify right side
    33,389.50x = 671,535,500.03
  5. Step 5: Solve for x
    x = 671,535,500.03/33,389.50
  6. Step 6: Final answer
    x = 20,112.18

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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.