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Finding the Fourth Proportional to 33,153.80, 49,723.80 and 10,961.96

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Solution

The fourth proportional to 33,153.80, 49,723.80 and 10,961.96 is: 16,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.80 : 49,723.80 = 10,961.96 : x
  2. Step 2: Convert to fraction form
    33,153.80/49,723.80 = 10,961.96/x
  3. Step 3: Cross multiply
    33,153.80x = 49,723.80 × 10,961.96
  4. Step 4: Simplify right side
    33,153.80x = 545,070,306.65
  5. Step 5: Solve for x
    x = 545,070,306.65/33,153.80
  6. Step 6: Final answer
    x = 16,440.66

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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.