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Finding the Fourth Proportional to 50,500.92, 75,667.50 and 30,719.64

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Solution

The fourth proportional to 50,500.92, 75,667.50 and 30,719.64 is: 46,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.92 : 75,667.50 = 30,719.64 : x
  2. Step 2: Convert to fraction form
    50,500.92/75,667.50 = 30,719.64/x
  3. Step 3: Cross multiply
    50,500.92x = 75,667.50 × 30,719.64
  4. Step 4: Simplify right side
    50,500.92x = 2,324,478,359.70
  5. Step 5: Solve for x
    x = 2,324,478,359.70/50,500.92
  6. Step 6: Final answer
    x = 46,028.44

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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.