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Finding the Fourth Proportional to 31,020.90, 42,815.01 and 18,443.22

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Solution

The fourth proportional to 31,020.90, 42,815.01 and 18,443.22 is: 25,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020.90 : 42,815.01 = 18,443.22 : x
  2. Step 2: Convert to fraction form
    31,020.90/42,815.01 = 18,443.22/x
  3. Step 3: Cross multiply
    31,020.90x = 42,815.01 × 18,443.22
  4. Step 4: Simplify right side
    31,020.90x = 789,646,648.73
  5. Step 5: Solve for x
    x = 789,646,648.73/31,020.90
  6. Step 6: Final answer
    x = 25,455.31

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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.