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Finding the Fourth Proportional to 50,771.88, 76,229.51 and 31,991.04

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Solution

The fourth proportional to 50,771.88, 76,229.51 and 31,991.04 is: 48,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771.88 : 76,229.51 = 31,991.04 : x
  2. Step 2: Convert to fraction form
    50,771.88/76,229.51 = 31,991.04/x
  3. Step 3: Cross multiply
    50,771.88x = 76,229.51 × 31,991.04
  4. Step 4: Simplify right side
    50,771.88x = 2,438,661,143.64
  5. Step 5: Solve for x
    x = 2,438,661,143.64/50,771.88
  6. Step 6: Final answer
    x = 48,031.73

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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.