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Finding the Fourth Proportional to 51,880.75, 77,924.84 and 50,178.31

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Solution

The fourth proportional to 51,880.75, 77,924.84 and 50,178.31 is: 75,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880.75 : 77,924.84 = 50,178.31 : x
  2. Step 2: Convert to fraction form
    51,880.75/77,924.84 = 50,178.31/x
  3. Step 3: Cross multiply
    51,880.75x = 77,924.84 × 50,178.31
  4. Step 4: Simplify right side
    51,880.75x = 3,910,136,778.22
  5. Step 5: Solve for x
    x = 3,910,136,778.22/51,880.75
  6. Step 6: Final answer
    x = 75,367.78

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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.