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Finding the Fourth Proportional to 33,049.89, 49,575.24 and 9,676.80

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Solution

The fourth proportional to 33,049.89, 49,575.24 and 9,676.80 is: 14,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.89 : 49,575.24 = 9,676.80 : x
  2. Step 2: Convert to fraction form
    33,049.89/49,575.24 = 9,676.80/x
  3. Step 3: Cross multiply
    33,049.89x = 49,575.24 × 9,676.80
  4. Step 4: Simplify right side
    33,049.89x = 479,729,682.43
  5. Step 5: Solve for x
    x = 479,729,682.43/33,049.89
  6. Step 6: Final answer
    x = 14,515.32

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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.