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Finding the Fourth Proportional to 50,472.27, 69,648.39 and 30,330

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Solution

The fourth proportional to 50,472.27, 69,648.39 and 30,330 is: 41,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472.27 : 69,648.39 = 30,330 : x
  2. Step 2: Convert to fraction form
    50,472.27/69,648.39 = 30,330/x
  3. Step 3: Cross multiply
    50,472.27x = 69,648.39 × 30,330
  4. Step 4: Simplify right side
    50,472.27x = 2,112,435,668.70
  5. Step 5: Solve for x
    x = 2,112,435,668.70/50,472.27
  6. Step 6: Final answer
    x = 41,853.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.