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Finding the Fourth Proportional to 31,771.40, 43,850.34 and 18,340.82

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Solution

The fourth proportional to 31,771.40, 43,850.34 and 18,340.82 is: 25,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.40 : 43,850.34 = 18,340.82 : x
  2. Step 2: Convert to fraction form
    31,771.40/43,850.34 = 18,340.82/x
  3. Step 3: Cross multiply
    31,771.40x = 43,850.34 × 18,340.82
  4. Step 4: Simplify right side
    31,771.40x = 804,251,192.88
  5. Step 5: Solve for x
    x = 804,251,192.88/31,771.40
  6. Step 6: Final answer
    x = 25,313.68

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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.