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Finding the Fourth Proportional to 27,571, 38,048 and 16,393

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Solution

The fourth proportional to 27,571, 38,048 and 16,393 is: 22,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571 : 38,048 = 16,393 : x
  2. Step 2: Convert to fraction form
    27,571/38,048 = 16,393/x
  3. Step 3: Cross multiply
    27,571x = 38,048 × 16,393
  4. Step 4: Simplify right side
    27,571x = 623,720,864
  5. Step 5: Solve for x
    x = 623,720,864/27,571
  6. Step 6: Final answer
    x = 22,622.35

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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.