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Finding the Fourth Proportional to 29,451.44, 44,175.72 and 10,982

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Solution

The fourth proportional to 29,451.44, 44,175.72 and 10,982 is: 16,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,451.44 : 44,175.72 = 10,982 : x
  2. Step 2: Convert to fraction form
    29,451.44/44,175.72 = 10,982/x
  3. Step 3: Cross multiply
    29,451.44x = 44,175.72 × 10,982
  4. Step 4: Simplify right side
    29,451.44x = 485,137,757.04
  5. Step 5: Solve for x
    x = 485,137,757.04/29,451.44
  6. Step 6: Final answer
    x = 16,472.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.