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Finding the Fourth Proportional to 33,478.44, 50,217.30 and 8,178.18

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Solution

The fourth proportional to 33,478.44, 50,217.30 and 8,178.18 is: 12,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.44 : 50,217.30 = 8,178.18 : x
  2. Step 2: Convert to fraction form
    33,478.44/50,217.30 = 8,178.18/x
  3. Step 3: Cross multiply
    33,478.44x = 50,217.30 × 8,178.18
  4. Step 4: Simplify right side
    33,478.44x = 410,686,118.51
  5. Step 5: Solve for x
    x = 410,686,118.51/33,478.44
  6. Step 6: Final answer
    x = 12,267.18

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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.