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Finding the Fourth Proportional to 33,633.12, 50,450.04 and 11,446.92

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Solution

The fourth proportional to 33,633.12, 50,450.04 and 11,446.92 is: 17,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.12 : 50,450.04 = 11,446.92 : x
  2. Step 2: Convert to fraction form
    33,633.12/50,450.04 = 11,446.92/x
  3. Step 3: Cross multiply
    33,633.12x = 50,450.04 × 11,446.92
  4. Step 4: Simplify right side
    33,633.12x = 577,497,571.88
  5. Step 5: Solve for x
    x = 577,497,571.88/33,633.12
  6. Step 6: Final answer
    x = 17,170.50

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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.