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Finding the Fourth Proportional to 31,991.40, 47,987.10 and 11,212.20

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Solution

The fourth proportional to 31,991.40, 47,987.10 and 11,212.20 is: 16,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.40 : 47,987.10 = 11,212.20 : x
  2. Step 2: Convert to fraction form
    31,991.40/47,987.10 = 11,212.20/x
  3. Step 3: Cross multiply
    31,991.40x = 47,987.10 × 11,212.20
  4. Step 4: Simplify right side
    31,991.40x = 538,040,962.62
  5. Step 5: Solve for x
    x = 538,040,962.62/31,991.40
  6. Step 6: Final answer
    x = 16,818.30

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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.