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Finding the Fourth Proportional to 33,842.10, 50,764.82 and 8,882.22

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Solution

The fourth proportional to 33,842.10, 50,764.82 and 8,882.22 is: 13,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.10 : 50,764.82 = 8,882.22 : x
  2. Step 2: Convert to fraction form
    33,842.10/50,764.82 = 8,882.22/x
  3. Step 3: Cross multiply
    33,842.10x = 50,764.82 × 8,882.22
  4. Step 4: Simplify right side
    33,842.10x = 450,904,299.50
  5. Step 5: Solve for x
    x = 450,904,299.50/33,842.10
  6. Step 6: Final answer
    x = 13,323.77

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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.