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Finding the Fourth Proportional to 33,020.96, 49,544.40 and 14,540

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Solution

The fourth proportional to 33,020.96, 49,544.40 and 14,540 is: 21,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,020.96 : 49,544.40 = 14,540 : x
  2. Step 2: Convert to fraction form
    33,020.96/49,544.40 = 14,540/x
  3. Step 3: Cross multiply
    33,020.96x = 49,544.40 × 14,540
  4. Step 4: Simplify right side
    33,020.96x = 720,375,576
  5. Step 5: Solve for x
    x = 720,375,576/33,020.96
  6. Step 6: Final answer
    x = 21,815.71

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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.