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Finding the Fourth Proportional to 31,616.40, 47,449.02 and 11,912.88

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Solution

The fourth proportional to 31,616.40, 47,449.02 and 11,912.88 is: 17,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.40 : 47,449.02 = 11,912.88 : x
  2. Step 2: Convert to fraction form
    31,616.40/47,449.02 = 11,912.88/x
  3. Step 3: Cross multiply
    31,616.40x = 47,449.02 × 11,912.88
  4. Step 4: Simplify right side
    31,616.40x = 565,254,481.38
  5. Step 5: Solve for x
    x = 565,254,481.38/31,616.40
  6. Step 6: Final answer
    x = 17,878.52

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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.