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Finding the Fourth Proportional to 31,771.90, 47,660.28 and 8,398

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Solution

The fourth proportional to 31,771.90, 47,660.28 and 8,398 is: 12,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.90 : 47,660.28 = 8,398 : x
  2. Step 2: Convert to fraction form
    31,771.90/47,660.28 = 8,398/x
  3. Step 3: Cross multiply
    31,771.90x = 47,660.28 × 8,398
  4. Step 4: Simplify right side
    31,771.90x = 400,251,031.44
  5. Step 5: Solve for x
    x = 400,251,031.44/31,771.90
  6. Step 6: Final answer
    x = 12,597.64

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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.