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Finding the Fourth Proportional to 33,238.96, 49,847.67 and 11,046.38

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Solution

The fourth proportional to 33,238.96, 49,847.67 and 11,046.38 is: 16,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.96 : 49,847.67 = 11,046.38 : x
  2. Step 2: Convert to fraction form
    33,238.96/49,847.67 = 11,046.38/x
  3. Step 3: Cross multiply
    33,238.96x = 49,847.67 × 11,046.38
  4. Step 4: Simplify right side
    33,238.96x = 550,636,055.70
  5. Step 5: Solve for x
    x = 550,636,055.70/33,238.96
  6. Step 6: Final answer
    x = 16,565.98

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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.