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Finding the Fourth Proportional to 48,302.25, 66,644.49 and 27,879.32

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Solution

The fourth proportional to 48,302.25, 66,644.49 and 27,879.32 is: 38,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,302.25 : 66,644.49 = 27,879.32 : x
  2. Step 2: Convert to fraction form
    48,302.25/66,644.49 = 27,879.32/x
  3. Step 3: Cross multiply
    48,302.25x = 66,644.49 × 27,879.32
  4. Step 4: Simplify right side
    48,302.25x = 1,858,002,729.72
  5. Step 5: Solve for x
    x = 1,858,002,729.72/48,302.25
  6. Step 6: Final answer
    x = 38,466.17

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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.