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Finding the Fourth Proportional to 33,823.08, 50,732.46 and 11,647.08

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Solution

The fourth proportional to 33,823.08, 50,732.46 and 11,647.08 is: 17,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.08 : 50,732.46 = 11,647.08 : x
  2. Step 2: Convert to fraction form
    33,823.08/50,732.46 = 11,647.08/x
  3. Step 3: Cross multiply
    33,823.08x = 50,732.46 × 11,647.08
  4. Step 4: Simplify right side
    33,823.08x = 590,885,020.22
  5. Step 5: Solve for x
    x = 590,885,020.22/33,823.08
  6. Step 6: Final answer
    x = 17,469.88

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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.