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Finding the Fourth Proportional to 33,046.69, 49,569.60 and 8,086.96

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Solution

The fourth proportional to 33,046.69, 49,569.60 and 8,086.96 is: 12,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.69 : 49,569.60 = 8,086.96 : x
  2. Step 2: Convert to fraction form
    33,046.69/49,569.60 = 8,086.96/x
  3. Step 3: Cross multiply
    33,046.69x = 49,569.60 × 8,086.96
  4. Step 4: Simplify right side
    33,046.69x = 400,867,372.42
  5. Step 5: Solve for x
    x = 400,867,372.42/33,046.69
  6. Step 6: Final answer
    x = 12,130.33

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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.