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Finding the Fourth Proportional to 33,119.67, 49,683.78 and 12,056.49

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Solution

The fourth proportional to 33,119.67, 49,683.78 and 12,056.49 is: 18,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,119.67 : 49,683.78 = 12,056.49 : x
  2. Step 2: Convert to fraction form
    33,119.67/49,683.78 = 12,056.49/x
  3. Step 3: Cross multiply
    33,119.67x = 49,683.78 × 12,056.49
  4. Step 4: Simplify right side
    33,119.67x = 599,011,996.73
  5. Step 5: Solve for x
    x = 599,011,996.73/33,119.67
  6. Step 6: Final answer
    x = 18,086.29

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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.