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Finding the Fourth Proportional to 50,882.68, 76,367.94 and 35,311.24

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Solution

The fourth proportional to 50,882.68, 76,367.94 and 35,311.24 is: 52,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.68 : 76,367.94 = 35,311.24 : x
  2. Step 2: Convert to fraction form
    50,882.68/76,367.94 = 35,311.24/x
  3. Step 3: Cross multiply
    50,882.68x = 76,367.94 × 35,311.24
  4. Step 4: Simplify right side
    50,882.68x = 2,696,646,657.65
  5. Step 5: Solve for x
    x = 2,696,646,657.65/50,882.68
  6. Step 6: Final answer
    x = 52,997.34

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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.