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Finding the Fourth Proportional to 33,614.60, 50,421.89 and 11,443.88

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Solution

The fourth proportional to 33,614.60, 50,421.89 and 11,443.88 is: 17,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614.60 : 50,421.89 = 11,443.88 : x
  2. Step 2: Convert to fraction form
    33,614.60/50,421.89 = 11,443.88/x
  3. Step 3: Cross multiply
    33,614.60x = 50,421.89 × 11,443.88
  4. Step 4: Simplify right side
    33,614.60x = 577,022,213.20
  5. Step 5: Solve for x
    x = 577,022,213.20/33,614.60
  6. Step 6: Final answer
    x = 17,165.82

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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.