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Finding the Fourth Proportional to 33,738.18, 50,614.40 and 12,678.41

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Solution

The fourth proportional to 33,738.18, 50,614.40 and 12,678.41 is: 19,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,738.18 : 50,614.40 = 12,678.41 : x
  2. Step 2: Convert to fraction form
    33,738.18/50,614.40 = 12,678.41/x
  3. Step 3: Cross multiply
    33,738.18x = 50,614.40 × 12,678.41
  4. Step 4: Simplify right side
    33,738.18x = 641,709,893.73
  5. Step 5: Solve for x
    x = 641,709,893.73/33,738.18
  6. Step 6: Final answer
    x = 19,020.29

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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.