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Finding the Fourth Proportional to 31,696.15, 47,540.52 and 8,324.41

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Solution

The fourth proportional to 31,696.15, 47,540.52 and 8,324.41 is: 12,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.15 : 47,540.52 = 8,324.41 : x
  2. Step 2: Convert to fraction form
    31,696.15/47,540.52 = 8,324.41/x
  3. Step 3: Cross multiply
    31,696.15x = 47,540.52 × 8,324.41
  4. Step 4: Simplify right side
    31,696.15x = 395,746,780.09
  5. Step 5: Solve for x
    x = 395,746,780.09/31,696.15
  6. Step 6: Final answer
    x = 12,485.64

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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.