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Finding the Fourth Proportional to 31,859.44, 47,809.92 and 12,138.16

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Solution

The fourth proportional to 31,859.44, 47,809.92 and 12,138.16 is: 18,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.44 : 47,809.92 = 12,138.16 : x
  2. Step 2: Convert to fraction form
    31,859.44/47,809.92 = 12,138.16/x
  3. Step 3: Cross multiply
    31,859.44x = 47,809.92 × 12,138.16
  4. Step 4: Simplify right side
    31,859.44x = 580,324,458.55
  5. Step 5: Solve for x
    x = 580,324,458.55/31,859.44
  6. Step 6: Final answer
    x = 18,215.15

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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.