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Finding the Fourth Proportional to 33,584.38, 50,376.62 and 12,524.10

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Solution

The fourth proportional to 33,584.38, 50,376.62 and 12,524.10 is: 18,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.38 : 50,376.62 = 12,524.10 : x
  2. Step 2: Convert to fraction form
    33,584.38/50,376.62 = 12,524.10/x
  3. Step 3: Cross multiply
    33,584.38x = 50,376.62 × 12,524.10
  4. Step 4: Simplify right side
    33,584.38x = 630,921,826.54
  5. Step 5: Solve for x
    x = 630,921,826.54/33,584.38
  6. Step 6: Final answer
    x = 18,786.17

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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.