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Finding the Fourth Proportional to 33,984.92, 50,986.57 and 24,186.40

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Solution

The fourth proportional to 33,984.92, 50,986.57 and 24,186.40 is: 36,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.92 : 50,986.57 = 24,186.40 : x
  2. Step 2: Convert to fraction form
    33,984.92/50,986.57 = 24,186.40/x
  3. Step 3: Cross multiply
    33,984.92x = 50,986.57 × 24,186.40
  4. Step 4: Simplify right side
    33,984.92x = 1,233,181,576.65
  5. Step 5: Solve for x
    x = 1,233,181,576.65/33,984.92
  6. Step 6: Final answer
    x = 36,286.14

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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.