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Finding the Fourth Proportional to 33,294.36, 49,942.05 and 11,107.74

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Solution

The fourth proportional to 33,294.36, 49,942.05 and 11,107.74 is: 16,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,294.36 : 49,942.05 = 11,107.74 : x
  2. Step 2: Convert to fraction form
    33,294.36/49,942.05 = 11,107.74/x
  3. Step 3: Cross multiply
    33,294.36x = 49,942.05 × 11,107.74
  4. Step 4: Simplify right side
    33,294.36x = 554,743,306.47
  5. Step 5: Solve for x
    x = 554,743,306.47/33,294.36
  6. Step 6: Final answer
    x = 16,661.78

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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.