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Finding the Fourth Proportional to 50,195.49, 69,270.42 and 27,533

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Solution

The fourth proportional to 50,195.49, 69,270.42 and 27,533 is: 37,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195.49 : 69,270.42 = 27,533 : x
  2. Step 2: Convert to fraction form
    50,195.49/69,270.42 = 27,533/x
  3. Step 3: Cross multiply
    50,195.49x = 69,270.42 × 27,533
  4. Step 4: Simplify right side
    50,195.49x = 1,907,222,473.86
  5. Step 5: Solve for x
    x = 1,907,222,473.86/50,195.49
  6. Step 6: Final answer
    x = 37,995.89

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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.