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Finding the Fourth Proportional to 50,847.49, 76,282.25 and 20,861.80

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Solution

The fourth proportional to 50,847.49, 76,282.25 and 20,861.80 is: 31,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,847.49 : 76,282.25 = 20,861.80 : x
  2. Step 2: Convert to fraction form
    50,847.49/76,282.25 = 20,861.80/x
  3. Step 3: Cross multiply
    50,847.49x = 76,282.25 × 20,861.80
  4. Step 4: Simplify right side
    50,847.49x = 1,591,384,557.33
  5. Step 5: Solve for x
    x = 1,591,384,557.33/50,847.49
  6. Step 6: Final answer
    x = 31,297.21

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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.