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Finding the Fourth Proportional to 31,694.88, 43,739.28 and 17,548

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Solution

The fourth proportional to 31,694.88, 43,739.28 and 17,548 is: 24,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.88 : 43,739.28 = 17,548 : x
  2. Step 2: Convert to fraction form
    31,694.88/43,739.28 = 17,548/x
  3. Step 3: Cross multiply
    31,694.88x = 43,739.28 × 17,548
  4. Step 4: Simplify right side
    31,694.88x = 767,536,885.44
  5. Step 5: Solve for x
    x = 767,536,885.44/31,694.88
  6. Step 6: Final answer
    x = 24,216.43

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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.