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Finding the Fourth Proportional to 33,448, 50,175.36 and 8,824

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Solution

The fourth proportional to 33,448, 50,175.36 and 8,824 is: 13,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448 : 50,175.36 = 8,824 : x
  2. Step 2: Convert to fraction form
    33,448/50,175.36 = 8,824/x
  3. Step 3: Cross multiply
    33,448x = 50,175.36 × 8,824
  4. Step 4: Simplify right side
    33,448x = 442,747,376.64
  5. Step 5: Solve for x
    x = 442,747,376.64/33,448
  6. Step 6: Final answer
    x = 13,236.89

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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.