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Finding the Fourth Proportional to 36,493.25, 54,732.58 and 10,198.22

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Solution

The fourth proportional to 36,493.25, 54,732.58 and 10,198.22 is: 15,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493.25 : 54,732.58 = 10,198.22 : x
  2. Step 2: Convert to fraction form
    36,493.25/54,732.58 = 10,198.22/x
  3. Step 3: Cross multiply
    36,493.25x = 54,732.58 × 10,198.22
  4. Step 4: Simplify right side
    36,493.25x = 558,174,892.01
  5. Step 5: Solve for x
    x = 558,174,892.01/36,493.25
  6. Step 6: Final answer
    x = 15,295.29

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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.