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Finding the Fourth Proportional to 31,682.88, 43,722.18 and 17,535.42

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Solution

The fourth proportional to 31,682.88, 43,722.18 and 17,535.42 is: 24,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.88 : 43,722.18 = 17,535.42 : x
  2. Step 2: Convert to fraction form
    31,682.88/43,722.18 = 17,535.42/x
  3. Step 3: Cross multiply
    31,682.88x = 43,722.18 × 17,535.42
  4. Step 4: Simplify right side
    31,682.88x = 766,686,789.62
  5. Step 5: Solve for x
    x = 766,686,789.62/31,682.88
  6. Step 6: Final answer
    x = 24,198.77

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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.