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Finding the Fourth Proportional to 33,574.65, 50,361.98 and 8,614.70

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Solution

The fourth proportional to 33,574.65, 50,361.98 and 8,614.70 is: 12,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.65 : 50,361.98 = 8,614.70 : x
  2. Step 2: Convert to fraction form
    33,574.65/50,361.98 = 8,614.70/x
  3. Step 3: Cross multiply
    33,574.65x = 50,361.98 × 8,614.70
  4. Step 4: Simplify right side
    33,574.65x = 433,853,054.22
  5. Step 5: Solve for x
    x = 433,853,054.22/33,574.65
  6. Step 6: Final answer
    x = 12,922.04

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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.