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Finding the Fourth Proportional to 33,984.40, 50,861.40 and 29,837.20

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Solution

The fourth proportional to 33,984.40, 50,861.40 and 29,837.20 is: 44,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.40 : 50,861.40 = 29,837.20 : x
  2. Step 2: Convert to fraction form
    33,984.40/50,861.40 = 29,837.20/x
  3. Step 3: Cross multiply
    33,984.40x = 50,861.40 × 29,837.20
  4. Step 4: Simplify right side
    33,984.40x = 1,517,561,764.08
  5. Step 5: Solve for x
    x = 1,517,561,764.08/33,984.40
  6. Step 6: Final answer
    x = 44,654.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.