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Finding the Fourth Proportional to 38,321.28, 52,866 and 27,694.08

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Solution

The fourth proportional to 38,321.28, 52,866 and 27,694.08 is: 38,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,321.28 : 52,866 = 27,694.08 : x
  2. Step 2: Convert to fraction form
    38,321.28/52,866 = 27,694.08/x
  3. Step 3: Cross multiply
    38,321.28x = 52,866 × 27,694.08
  4. Step 4: Simplify right side
    38,321.28x = 1,464,075,233.28
  5. Step 5: Solve for x
    x = 1,464,075,233.28/38,321.28
  6. Step 6: Final answer
    x = 38,205.28

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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.