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Finding the Fourth Proportional to 33,216.74, 49,834.74 and 9,843.74

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Solution

The fourth proportional to 33,216.74, 49,834.74 and 9,843.74 is: 14,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216.74 : 49,834.74 = 9,843.74 : x
  2. Step 2: Convert to fraction form
    33,216.74/49,834.74 = 9,843.74/x
  3. Step 3: Cross multiply
    33,216.74x = 49,834.74 × 9,843.74
  4. Step 4: Simplify right side
    33,216.74x = 490,560,223.53
  5. Step 5: Solve for x
    x = 490,560,223.53/33,216.74
  6. Step 6: Final answer
    x = 14,768.46

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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.