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Finding the Fourth Proportional to 57,934, 79,948.92 and 31,438

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Solution

The fourth proportional to 57,934, 79,948.92 and 31,438 is: 43,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,934 : 79,948.92 = 31,438 : x
  2. Step 2: Convert to fraction form
    57,934/79,948.92 = 31,438/x
  3. Step 3: Cross multiply
    57,934x = 79,948.92 × 31,438
  4. Step 4: Simplify right side
    57,934x = 2,513,434,146.96
  5. Step 5: Solve for x
    x = 2,513,434,146.96/57,934
  6. Step 6: Final answer
    x = 43,384.44

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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.