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Finding the Fourth Proportional to 31,739.72, 47,611.92 and 8,366

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Solution

The fourth proportional to 31,739.72, 47,611.92 and 8,366 is: 12,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739.72 : 47,611.92 = 8,366 : x
  2. Step 2: Convert to fraction form
    31,739.72/47,611.92 = 8,366/x
  3. Step 3: Cross multiply
    31,739.72x = 47,611.92 × 8,366
  4. Step 4: Simplify right side
    31,739.72x = 398,321,322.72
  5. Step 5: Solve for x
    x = 398,321,322.72/31,739.72
  6. Step 6: Final answer
    x = 12,549.62

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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.