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Finding the Fourth Proportional to 33,472.10, 50,176.12 and 12,406.50

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Solution

The fourth proportional to 33,472.10, 50,176.12 and 12,406.50 is: 18,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,472.10 : 50,176.12 = 12,406.50 : x
  2. Step 2: Convert to fraction form
    33,472.10/50,176.12 = 12,406.50/x
  3. Step 3: Cross multiply
    33,472.10x = 50,176.12 × 12,406.50
  4. Step 4: Simplify right side
    33,472.10x = 622,510,032.78
  5. Step 5: Solve for x
    x = 622,510,032.78/33,472.10
  6. Step 6: Final answer
    x = 18,597.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.