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Finding the Fourth Proportional to 33,103.95, 49,655.46 and 8,144.22

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Solution

The fourth proportional to 33,103.95, 49,655.46 and 8,144.22 is: 12,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.95 : 49,655.46 = 8,144.22 : x
  2. Step 2: Convert to fraction form
    33,103.95/49,655.46 = 8,144.22/x
  3. Step 3: Cross multiply
    33,103.95x = 49,655.46 × 8,144.22
  4. Step 4: Simplify right side
    33,103.95x = 404,404,990.44
  5. Step 5: Solve for x
    x = 404,404,990.44/33,103.95
  6. Step 6: Final answer
    x = 12,216.22

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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.