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Finding the Fourth Proportional to 50,530.20, 75,814.96 and 20,940.50

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Solution

The fourth proportional to 50,530.20, 75,814.96 and 20,940.50 is: 31,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530.20 : 75,814.96 = 20,940.50 : x
  2. Step 2: Convert to fraction form
    50,530.20/75,814.96 = 20,940.50/x
  3. Step 3: Cross multiply
    50,530.20x = 75,814.96 × 20,940.50
  4. Step 4: Simplify right side
    50,530.20x = 1,587,603,169.88
  5. Step 5: Solve for x
    x = 1,587,603,169.88/50,530.20
  6. Step 6: Final answer
    x = 31,418.90

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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.