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Finding the Fourth Proportional to 51,912, 77,757.84 and 50,093.28

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Solution

The fourth proportional to 51,912, 77,757.84 and 50,093.28 is: 75,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912 : 77,757.84 = 50,093.28 : x
  2. Step 2: Convert to fraction form
    51,912/77,757.84 = 50,093.28/x
  3. Step 3: Cross multiply
    51,912x = 77,757.84 × 50,093.28
  4. Step 4: Simplify right side
    51,912x = 3,895,145,251.32
  5. Step 5: Solve for x
    x = 3,895,145,251.32/51,912
  6. Step 6: Final answer
    x = 75,033.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.