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Finding the Fourth Proportional to 31,713.48, 43,764 and 17,566.44

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Solution

The fourth proportional to 31,713.48, 43,764 and 17,566.44 is: 24,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.48 : 43,764 = 17,566.44 : x
  2. Step 2: Convert to fraction form
    31,713.48/43,764 = 17,566.44/x
  3. Step 3: Cross multiply
    31,713.48x = 43,764 × 17,566.44
  4. Step 4: Simplify right side
    31,713.48x = 768,777,680.16
  5. Step 5: Solve for x
    x = 768,777,680.16/31,713.48
  6. Step 6: Final answer
    x = 24,241.35

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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.