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Finding the Fourth Proportional to 33,229.29, 49,852.34 and 11,042.78

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Solution

The fourth proportional to 33,229.29, 49,852.34 and 11,042.78 is: 16,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229.29 : 49,852.34 = 11,042.78 : x
  2. Step 2: Convert to fraction form
    33,229.29/49,852.34 = 11,042.78/x
  3. Step 3: Cross multiply
    33,229.29x = 49,852.34 × 11,042.78
  4. Step 4: Simplify right side
    33,229.29x = 550,508,118.63
  5. Step 5: Solve for x
    x = 550,508,118.63/33,229.29
  6. Step 6: Final answer
    x = 16,566.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.