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Finding the Fourth Proportional to 31,708.26, 47,558.79 and 8,336.52

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Solution

The fourth proportional to 31,708.26, 47,558.79 and 8,336.52 is: 12,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.26 : 47,558.79 = 8,336.52 : x
  2. Step 2: Convert to fraction form
    31,708.26/47,558.79 = 8,336.52/x
  3. Step 3: Cross multiply
    31,708.26x = 47,558.79 × 8,336.52
  4. Step 4: Simplify right side
    31,708.26x = 396,474,804.01
  5. Step 5: Solve for x
    x = 396,474,804.01/31,708.26
  6. Step 6: Final answer
    x = 12,503.83

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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.