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Finding the Fourth Proportional to 31,743.46, 43,807.49 and 17,596.32

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Solution

The fourth proportional to 31,743.46, 43,807.49 and 17,596.32 is: 24,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,743.46 : 43,807.49 = 17,596.32 : x
  2. Step 2: Convert to fraction form
    31,743.46/43,807.49 = 17,596.32/x
  3. Step 3: Cross multiply
    31,743.46x = 43,807.49 × 17,596.32
  4. Step 4: Simplify right side
    31,743.46x = 770,850,612.44
  5. Step 5: Solve for x
    x = 770,850,612.44/31,743.46
  6. Step 6: Final answer
    x = 24,283.76

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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.