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Finding the Fourth Proportional to 33,600, 50,399.04 and 10,223.04

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Solution

The fourth proportional to 33,600, 50,399.04 and 10,223.04 is: 15,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,600 : 50,399.04 = 10,223.04 : x
  2. Step 2: Convert to fraction form
    33,600/50,399.04 = 10,223.04/x
  3. Step 3: Cross multiply
    33,600x = 50,399.04 × 10,223.04
  4. Step 4: Simplify right side
    33,600x = 515,231,401.88
  5. Step 5: Solve for x
    x = 515,231,401.88/33,600
  6. Step 6: Final answer
    x = 15,334.27

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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.