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Finding the Fourth Proportional to 33,728, 50,592 and 9,104

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Solution

The fourth proportional to 33,728, 50,592 and 9,104 is: 13,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728 : 50,592 = 9,104 : x
  2. Step 2: Convert to fraction form
    33,728/50,592 = 9,104/x
  3. Step 3: Cross multiply
    33,728x = 50,592 × 9,104
  4. Step 4: Simplify right side
    33,728x = 460,589,568
  5. Step 5: Solve for x
    x = 460,589,568/33,728
  6. Step 6: Final answer
    x = 13,656

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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.