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Finding the Fourth Proportional to 50,024, 69,033.12 and 27,668

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Solution

The fourth proportional to 50,024, 69,033.12 and 27,668 is: 38,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,024 : 69,033.12 = 27,668 : x
  2. Step 2: Convert to fraction form
    50,024/69,033.12 = 27,668/x
  3. Step 3: Cross multiply
    50,024x = 69,033.12 × 27,668
  4. Step 4: Simplify right side
    50,024x = 1,910,008,364.16
  5. Step 5: Solve for x
    x = 1,910,008,364.16/50,024
  6. Step 6: Final answer
    x = 38,181.84

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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.