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Finding the Fourth Proportional to 31,684.86, 47,527.26 and 8,311.26

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Solution

The fourth proportional to 31,684.86, 47,527.26 and 8,311.26 is: 12,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.86 : 47,527.26 = 8,311.26 : x
  2. Step 2: Convert to fraction form
    31,684.86/47,527.26 = 8,311.26/x
  3. Step 3: Cross multiply
    31,684.86x = 47,527.26 × 8,311.26
  4. Step 4: Simplify right side
    31,684.86x = 395,011,414.95
  5. Step 5: Solve for x
    x = 395,011,414.95/31,684.86
  6. Step 6: Final answer
    x = 12,466.88

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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.