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Finding the Fourth Proportional to 31,769.42, 43,841.72 and 17,429.32

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Solution

The fourth proportional to 31,769.42, 43,841.72 and 17,429.32 is: 24,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,769.42 : 43,841.72 = 17,429.32 : x
  2. Step 2: Convert to fraction form
    31,769.42/43,841.72 = 17,429.32/x
  3. Step 3: Cross multiply
    31,769.42x = 43,841.72 × 17,429.32
  4. Step 4: Simplify right side
    31,769.42x = 764,131,367.23
  5. Step 5: Solve for x
    x = 764,131,367.23/31,769.42
  6. Step 6: Final answer
    x = 24,052.42

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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.