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Finding the Fourth Proportional to 33,105.78, 49,648.14 and 10,915.02

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Solution

The fourth proportional to 33,105.78, 49,648.14 and 10,915.02 is: 16,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105.78 : 49,648.14 = 10,915.02 : x
  2. Step 2: Convert to fraction form
    33,105.78/49,648.14 = 10,915.02/x
  3. Step 3: Cross multiply
    33,105.78x = 49,648.14 × 10,915.02
  4. Step 4: Simplify right side
    33,105.78x = 541,910,441.06
  5. Step 5: Solve for x
    x = 541,910,441.06/33,105.78
  6. Step 6: Final answer
    x = 16,369.06

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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.