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Finding the Fourth Proportional to 31,682.49, 43,723.22 and 17,535.33

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Solution

The fourth proportional to 31,682.49, 43,723.22 and 17,535.33 is: 24,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.49 : 43,723.22 = 17,535.33 : x
  2. Step 2: Convert to fraction form
    31,682.49/43,723.22 = 17,535.33/x
  3. Step 3: Cross multiply
    31,682.49x = 43,723.22 × 17,535.33
  4. Step 4: Simplify right side
    31,682.49x = 766,701,003.69
  5. Step 5: Solve for x
    x = 766,701,003.69/31,682.49
  6. Step 6: Final answer
    x = 24,199.52

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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.