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Finding the Fourth Proportional to 31,211.82, 43,072.31 and 20,053.26

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Solution

The fourth proportional to 31,211.82, 43,072.31 and 20,053.26 is: 27,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.82 : 43,072.31 = 20,053.26 : x
  2. Step 2: Convert to fraction form
    31,211.82/43,072.31 = 20,053.26/x
  3. Step 3: Cross multiply
    31,211.82x = 43,072.31 × 20,053.26
  4. Step 4: Simplify right side
    31,211.82x = 863,740,130.96
  5. Step 5: Solve for x
    x = 863,740,130.96/31,211.82
  6. Step 6: Final answer
    x = 27,673.49

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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.