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Finding the Fourth Proportional to 50,757.95, 76,094.11 and 31,996.64

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Solution

The fourth proportional to 50,757.95, 76,094.11 and 31,996.64 is: 47,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,757.95 : 76,094.11 = 31,996.64 : x
  2. Step 2: Convert to fraction form
    50,757.95/76,094.11 = 31,996.64/x
  3. Step 3: Cross multiply
    50,757.95x = 76,094.11 × 31,996.64
  4. Step 4: Simplify right side
    50,757.95x = 2,434,755,843.79
  5. Step 5: Solve for x
    x = 2,434,755,843.79/50,757.95
  6. Step 6: Final answer
    x = 47,967.97

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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.