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Finding the Fourth Proportional to 33,544.48, 50,318 and 12,489.84

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Solution

The fourth proportional to 33,544.48, 50,318 and 12,489.84 is: 18,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,544.48 : 50,318 = 12,489.84 : x
  2. Step 2: Convert to fraction form
    33,544.48/50,318 = 12,489.84/x
  3. Step 3: Cross multiply
    33,544.48x = 50,318 × 12,489.84
  4. Step 4: Simplify right side
    33,544.48x = 628,463,769.12
  5. Step 5: Solve for x
    x = 628,463,769.12/33,544.48
  6. Step 6: Final answer
    x = 18,735.24

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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.