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Finding the Fourth Proportional to 33,098.69, 49,647.60 and 8,138.95

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Solution

The fourth proportional to 33,098.69, 49,647.60 and 8,138.95 is: 12,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.69 : 49,647.60 = 8,138.95 : x
  2. Step 2: Convert to fraction form
    33,098.69/49,647.60 = 8,138.95/x
  3. Step 3: Cross multiply
    33,098.69x = 49,647.60 × 8,138.95
  4. Step 4: Simplify right side
    33,098.69x = 404,079,504.43
  5. Step 5: Solve for x
    x = 404,079,504.43/33,098.69
  6. Step 6: Final answer
    x = 12,208.32

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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.