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Finding the Fourth Proportional to 71,206.11, 106,861.73 and 33,766.31

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Solution

The fourth proportional to 71,206.11, 106,861.73 and 33,766.31 is: 50,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.11 : 106,861.73 = 33,766.31 : x
  2. Step 2: Convert to fraction form
    71,206.11/106,861.73 = 33,766.31/x
  3. Step 3: Cross multiply
    71,206.11x = 106,861.73 × 33,766.31
  4. Step 4: Simplify right side
    71,206.11x = 3,608,325,599.18
  5. Step 5: Solve for x
    x = 3,608,325,599.18/71,206.11
  6. Step 6: Final answer
    x = 50,674.38

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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.