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Finding the Fourth Proportional to 33,984.87, 50,977.30 and 10,613.31

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Solution

The fourth proportional to 33,984.87, 50,977.30 and 10,613.31 is: 15,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.87 : 50,977.30 = 10,613.31 : x
  2. Step 2: Convert to fraction form
    33,984.87/50,977.30 = 10,613.31/x
  3. Step 3: Cross multiply
    33,984.87x = 50,977.30 × 10,613.31
  4. Step 4: Simplify right side
    33,984.87x = 541,037,887.86
  5. Step 5: Solve for x
    x = 541,037,887.86/33,984.87
  6. Step 6: Final answer
    x = 15,919.96

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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.