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Finding the Fourth Proportional to 41,231.14, 61,846.98 and 11,648.86

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Solution

The fourth proportional to 41,231.14, 61,846.98 and 11,648.86 is: 17,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,231.14 : 61,846.98 = 11,648.86 : x
  2. Step 2: Convert to fraction form
    41,231.14/61,846.98 = 11,648.86/x
  3. Step 3: Cross multiply
    41,231.14x = 61,846.98 × 11,648.86
  4. Step 4: Simplify right side
    41,231.14x = 720,446,811.44
  5. Step 5: Solve for x
    x = 720,446,811.44/41,231.14
  6. Step 6: Final answer
    x = 17,473.37

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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.