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Finding the Fourth Proportional to 31,991.30, 47,989.82 and 8,617.22

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Solution

The fourth proportional to 31,991.30, 47,989.82 and 8,617.22 is: 12,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.30 : 47,989.82 = 8,617.22 : x
  2. Step 2: Convert to fraction form
    31,991.30/47,989.82 = 8,617.22/x
  3. Step 3: Cross multiply
    31,991.30x = 47,989.82 × 8,617.22
  4. Step 4: Simplify right side
    31,991.30x = 413,538,618.29
  5. Step 5: Solve for x
    x = 413,538,618.29/31,991.30
  6. Step 6: Final answer
    x = 12,926.60

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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.