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Finding the Fourth Proportional to 31,684.80, 47,524.73 and 8,310.63

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Solution

The fourth proportional to 31,684.80, 47,524.73 and 8,310.63 is: 12,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.80 : 47,524.73 = 8,310.63 : x
  2. Step 2: Convert to fraction form
    31,684.80/47,524.73 = 8,310.63/x
  3. Step 3: Cross multiply
    31,684.80x = 47,524.73 × 8,310.63
  4. Step 4: Simplify right side
    31,684.80x = 394,960,405.33
  5. Step 5: Solve for x
    x = 394,960,405.33/31,684.80
  6. Step 6: Final answer
    x = 12,465.30

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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.