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Finding the Fourth Proportional to 50,959.62, 76,356.92 and 31,178.22

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Solution

The fourth proportional to 50,959.62, 76,356.92 and 31,178.22 is: 46,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,959.62 : 76,356.92 = 31,178.22 : x
  2. Step 2: Convert to fraction form
    50,959.62/76,356.92 = 31,178.22/x
  3. Step 3: Cross multiply
    50,959.62x = 76,356.92 × 31,178.22
  4. Step 4: Simplify right side
    50,959.62x = 2,380,672,850.28
  5. Step 5: Solve for x
    x = 2,380,672,850.28/50,959.62
  6. Step 6: Final answer
    x = 46,716.85

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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.