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Finding the Fourth Proportional to 36,527.75, 54,791.67 and 8,825.75

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Solution

The fourth proportional to 36,527.75, 54,791.67 and 8,825.75 is: 13,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,527.75 : 54,791.67 = 8,825.75 : x
  2. Step 2: Convert to fraction form
    36,527.75/54,791.67 = 8,825.75/x
  3. Step 3: Cross multiply
    36,527.75x = 54,791.67 × 8,825.75
  4. Step 4: Simplify right side
    36,527.75x = 483,577,581.50
  5. Step 5: Solve for x
    x = 483,577,581.50/36,527.75
  6. Step 6: Final answer
    x = 13,238.64

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Why These Related Problems?

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