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Finding the Fourth Proportional to 31,275.98, 43,165.89 and 17,847.80

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Solution

The fourth proportional to 31,275.98, 43,165.89 and 17,847.80 is: 24,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275.98 : 43,165.89 = 17,847.80 : x
  2. Step 2: Convert to fraction form
    31,275.98/43,165.89 = 17,847.80/x
  3. Step 3: Cross multiply
    31,275.98x = 43,165.89 × 17,847.80
  4. Step 4: Simplify right side
    31,275.98x = 770,416,171.54
  5. Step 5: Solve for x
    x = 770,416,171.54/31,275.98
  6. Step 6: Final answer
    x = 24,632.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.