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Finding the Fourth Proportional to 50,216.86, 75,349.86 and 20,229.85

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Solution

The fourth proportional to 50,216.86, 75,349.86 and 20,229.85 is: 30,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,216.86 : 75,349.86 = 20,229.85 : x
  2. Step 2: Convert to fraction form
    50,216.86/75,349.86 = 20,229.85/x
  3. Step 3: Cross multiply
    50,216.86x = 75,349.86 × 20,229.85
  4. Step 4: Simplify right side
    50,216.86x = 1,524,316,365.32
  5. Step 5: Solve for x
    x = 1,524,316,365.32/50,216.86
  6. Step 6: Final answer
    x = 30,354.67

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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.