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Finding the Fourth Proportional to 50,201.60, 75,358.72 and 31,744

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Solution

The fourth proportional to 50,201.60, 75,358.72 and 31,744 is: 47,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201.60 : 75,358.72 = 31,744 : x
  2. Step 2: Convert to fraction form
    50,201.60/75,358.72 = 31,744/x
  3. Step 3: Cross multiply
    50,201.60x = 75,358.72 × 31,744
  4. Step 4: Simplify right side
    50,201.60x = 2,392,187,207.68
  5. Step 5: Solve for x
    x = 2,392,187,207.68/50,201.60
  6. Step 6: Final answer
    x = 47,651.61

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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.