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Finding the Fourth Proportional to 33,522.50, 50,290.22 and 12,744.38

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Solution

The fourth proportional to 33,522.50, 50,290.22 and 12,744.38 is: 19,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522.50 : 50,290.22 = 12,744.38 : x
  2. Step 2: Convert to fraction form
    33,522.50/50,290.22 = 12,744.38/x
  3. Step 3: Cross multiply
    33,522.50x = 50,290.22 × 12,744.38
  4. Step 4: Simplify right side
    33,522.50x = 640,917,673.96
  5. Step 5: Solve for x
    x = 640,917,673.96/33,522.50
  6. Step 6: Final answer
    x = 19,119.03

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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.