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Finding the Fourth Proportional to 57,734, 79,672.92 and 31,238

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Solution

The fourth proportional to 57,734, 79,672.92 and 31,238 is: 43,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734 : 79,672.92 = 31,238 : x
  2. Step 2: Convert to fraction form
    57,734/79,672.92 = 31,238/x
  3. Step 3: Cross multiply
    57,734x = 79,672.92 × 31,238
  4. Step 4: Simplify right side
    57,734x = 2,488,822,674.96
  5. Step 5: Solve for x
    x = 2,488,822,674.96/57,734
  6. Step 6: Final answer
    x = 43,108.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.