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Finding the Fourth Proportional to 33,984.86, 50,977.30 and 10,613.30

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Solution

The fourth proportional to 33,984.86, 50,977.30 and 10,613.30 is: 15,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.86 : 50,977.30 = 10,613.30 : x
  2. Step 2: Convert to fraction form
    33,984.86/50,977.30 = 10,613.30/x
  3. Step 3: Cross multiply
    33,984.86x = 50,977.30 × 10,613.30
  4. Step 4: Simplify right side
    33,984.86x = 541,037,378.09
  5. Step 5: Solve for x
    x = 541,037,378.09/33,984.86
  6. Step 6: Final answer
    x = 15,919.95

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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.