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Finding the Fourth Proportional to 50,077.50, 75,057.89 and 27,880.26

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Solution

The fourth proportional to 50,077.50, 75,057.89 and 27,880.26 is: 41,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077.50 : 75,057.89 = 27,880.26 : x
  2. Step 2: Convert to fraction form
    50,077.50/75,057.89 = 27,880.26/x
  3. Step 3: Cross multiply
    50,077.50x = 75,057.89 × 27,880.26
  4. Step 4: Simplify right side
    50,077.50x = 2,092,633,348.85
  5. Step 5: Solve for x
    x = 2,092,633,348.85/50,077.50
  6. Step 6: Final answer
    x = 41,787.90

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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.