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Finding the Fourth Proportional to 33,162.71, 49,744.08 and 8,203.19

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Solution

The fourth proportional to 33,162.71, 49,744.08 and 8,203.19 is: 12,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.71 : 49,744.08 = 8,203.19 : x
  2. Step 2: Convert to fraction form
    33,162.71/49,744.08 = 8,203.19/x
  3. Step 3: Cross multiply
    33,162.71x = 49,744.08 × 8,203.19
  4. Step 4: Simplify right side
    33,162.71x = 408,059,890.89
  5. Step 5: Solve for x
    x = 408,059,890.89/33,162.71
  6. Step 6: Final answer
    x = 12,304.78

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1.5x scale

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.