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Finding the Fourth Proportional to 33,986.20, 50,964.90 and 16,461.40

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Solution

The fourth proportional to 33,986.20, 50,964.90 and 16,461.40 is: 24,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986.20 : 50,964.90 = 16,461.40 : x
  2. Step 2: Convert to fraction form
    33,986.20/50,964.90 = 16,461.40/x
  3. Step 3: Cross multiply
    33,986.20x = 50,964.90 × 16,461.40
  4. Step 4: Simplify right side
    33,986.20x = 838,953,604.86
  5. Step 5: Solve for x
    x = 838,953,604.86/33,986.20
  6. Step 6: Final answer
    x = 24,685.13

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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.