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Finding the Fourth Proportional to 80,857.41, 121,309.50 and 33,463.74

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Solution

The fourth proportional to 80,857.41, 121,309.50 and 33,463.74 is: 50,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,857.41 : 121,309.50 = 33,463.74 : x
  2. Step 2: Convert to fraction form
    80,857.41/121,309.50 = 33,463.74/x
  3. Step 3: Cross multiply
    80,857.41x = 121,309.50 × 33,463.74
  4. Step 4: Simplify right side
    80,857.41x = 4,059,469,567.53
  5. Step 5: Solve for x
    x = 4,059,469,567.53/80,857.41
  6. Step 6: Final answer
    x = 50,205.29

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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.