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Finding the Fourth Proportional to 50,402.96, 75,563.20 and 27,912.86

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Solution

The fourth proportional to 50,402.96, 75,563.20 and 27,912.86 is: 41,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,402.96 : 75,563.20 = 27,912.86 : x
  2. Step 2: Convert to fraction form
    50,402.96/75,563.20 = 27,912.86/x
  3. Step 3: Cross multiply
    50,402.96x = 75,563.20 × 27,912.86
  4. Step 4: Simplify right side
    50,402.96x = 2,109,185,022.75
  5. Step 5: Solve for x
    x = 2,109,185,022.75/50,402.96
  6. Step 6: Final answer
    x = 41,846.45

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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.