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Finding the Fourth Proportional to 50,414.78, 75,633.12 and 15,353.54

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Solution

The fourth proportional to 50,414.78, 75,633.12 and 15,353.54 is: 23,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.78 : 75,633.12 = 15,353.54 : x
  2. Step 2: Convert to fraction form
    50,414.78/75,633.12 = 15,353.54/x
  3. Step 3: Cross multiply
    50,414.78x = 75,633.12 × 15,353.54
  4. Step 4: Simplify right side
    50,414.78x = 1,161,236,133.24
  5. Step 5: Solve for x
    x = 1,161,236,133.24/50,414.78
  6. Step 6: Final answer
    x = 23,033.64

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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.