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Finding the Fourth Proportional to 36,286.82, 54,451.25 and 15,225

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Solution

The fourth proportional to 36,286.82, 54,451.25 and 15,225 is: 22,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,286.82 : 54,451.25 = 15,225 : x
  2. Step 2: Convert to fraction form
    36,286.82/54,451.25 = 15,225/x
  3. Step 3: Cross multiply
    36,286.82x = 54,451.25 × 15,225
  4. Step 4: Simplify right side
    36,286.82x = 829,020,319.31
  5. Step 5: Solve for x
    x = 829,020,319.31/36,286.82
  6. Step 6: Final answer
    x = 22,846.32

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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.