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Finding the Fourth Proportional to 31,744.34, 43,807.20 and 17,596.88

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Solution

The fourth proportional to 31,744.34, 43,807.20 and 17,596.88 is: 24,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.34 : 43,807.20 = 17,596.88 : x
  2. Step 2: Convert to fraction form
    31,744.34/43,807.20 = 17,596.88/x
  3. Step 3: Cross multiply
    31,744.34x = 43,807.20 × 17,596.88
  4. Step 4: Simplify right side
    31,744.34x = 770,870,041.54
  5. Step 5: Solve for x
    x = 770,870,041.54/31,744.34
  6. Step 6: Final answer
    x = 24,283.70

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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.