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Finding the Fourth Proportional to 33,091.32, 49,635.74 and 8,131.44

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Solution

The fourth proportional to 33,091.32, 49,635.74 and 8,131.44 is: 12,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091.32 : 49,635.74 = 8,131.44 : x
  2. Step 2: Convert to fraction form
    33,091.32/49,635.74 = 8,131.44/x
  3. Step 3: Cross multiply
    33,091.32x = 49,635.74 × 8,131.44
  4. Step 4: Simplify right side
    33,091.32x = 403,610,041.67
  5. Step 5: Solve for x
    x = 403,610,041.67/33,091.32
  6. Step 6: Final answer
    x = 12,196.86

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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.