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Finding the Fourth Proportional to 31,891.88, 47,816.22 and 17,861.60

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Solution

The fourth proportional to 31,891.88, 47,816.22 and 17,861.60 is: 26,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.88 : 47,816.22 = 17,861.60 : x
  2. Step 2: Convert to fraction form
    31,891.88/47,816.22 = 17,861.60/x
  3. Step 3: Cross multiply
    31,891.88x = 47,816.22 × 17,861.60
  4. Step 4: Simplify right side
    31,891.88x = 854,074,195.15
  5. Step 5: Solve for x
    x = 854,074,195.15/31,891.88
  6. Step 6: Final answer
    x = 26,780.30

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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.