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Finding the Fourth Proportional to 51,193.20, 76,660.20 and 40,825.20

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Solution

The fourth proportional to 51,193.20, 76,660.20 and 40,825.20 is: 61,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193.20 : 76,660.20 = 40,825.20 : x
  2. Step 2: Convert to fraction form
    51,193.20/76,660.20 = 40,825.20/x
  3. Step 3: Cross multiply
    51,193.20x = 76,660.20 × 40,825.20
  4. Step 4: Simplify right side
    51,193.20x = 3,129,667,997.04
  5. Step 5: Solve for x
    x = 3,129,667,997.04/51,193.20
  6. Step 6: Final answer
    x = 61,134.45

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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.