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Finding the Fourth Proportional to 36,287.82, 54,452.75 and 15,226

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Solution

The fourth proportional to 36,287.82, 54,452.75 and 15,226 is: 22,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,287.82 : 54,452.75 = 15,226 : x
  2. Step 2: Convert to fraction form
    36,287.82/54,452.75 = 15,226/x
  3. Step 3: Cross multiply
    36,287.82x = 54,452.75 × 15,226
  4. Step 4: Simplify right side
    36,287.82x = 829,097,571.50
  5. Step 5: Solve for x
    x = 829,097,571.50/36,287.82
  6. Step 6: Final answer
    x = 22,847.82

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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.