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Finding the Fourth Proportional to 50,760.42, 76,140.72 and 13,824.42

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Solution

The fourth proportional to 50,760.42, 76,140.72 and 13,824.42 is: 20,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,760.42 : 76,140.72 = 13,824.42 : x
  2. Step 2: Convert to fraction form
    50,760.42/76,140.72 = 13,824.42/x
  3. Step 3: Cross multiply
    50,760.42x = 76,140.72 × 13,824.42
  4. Step 4: Simplify right side
    50,760.42x = 1,052,601,292.38
  5. Step 5: Solve for x
    x = 1,052,601,292.38/50,760.42
  6. Step 6: Final answer
    x = 20,736.65

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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.