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Finding the Fourth Proportional to 31,682.40, 43,723.09 and 17,535.24

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Solution

The fourth proportional to 31,682.40, 43,723.09 and 17,535.24 is: 24,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.40 : 43,723.09 = 17,535.24 : x
  2. Step 2: Convert to fraction form
    31,682.40/43,723.09 = 17,535.24/x
  3. Step 3: Cross multiply
    31,682.40x = 43,723.09 × 17,535.24
  4. Step 4: Simplify right side
    31,682.40x = 766,694,668.89
  5. Step 5: Solve for x
    x = 766,694,668.89/31,682.40
  6. Step 6: Final answer
    x = 24,199.39

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Why These Related Problems?

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