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Finding the Fourth Proportional to 33,195.39, 49,793.49 and 9,822.30

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Solution

The fourth proportional to 33,195.39, 49,793.49 and 9,822.30 is: 14,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195.39 : 49,793.49 = 9,822.30 : x
  2. Step 2: Convert to fraction form
    33,195.39/49,793.49 = 9,822.30/x
  3. Step 3: Cross multiply
    33,195.39x = 49,793.49 × 9,822.30
  4. Step 4: Simplify right side
    33,195.39x = 489,086,596.83
  5. Step 5: Solve for x
    x = 489,086,596.83/33,195.39
  6. Step 6: Final answer
    x = 14,733.57

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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.