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Finding the Fourth Proportional to 31,563.88, 43,562.31 and 21,997.58

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Solution

The fourth proportional to 31,563.88, 43,562.31 and 21,997.58 is: 30,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.88 : 43,562.31 = 21,997.58 : x
  2. Step 2: Convert to fraction form
    31,563.88/43,562.31 = 21,997.58/x
  3. Step 3: Cross multiply
    31,563.88x = 43,562.31 × 21,997.58
  4. Step 4: Simplify right side
    31,563.88x = 958,265,098.91
  5. Step 5: Solve for x
    x = 958,265,098.91/31,563.88
  6. Step 6: Final answer
    x = 30,359.55

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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.