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Finding the Fourth Proportional to 48,305.25, 66,648.62 and 27,882.32

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Solution

The fourth proportional to 48,305.25, 66,648.62 and 27,882.32 is: 38,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,305.25 : 66,648.62 = 27,882.32 : x
  2. Step 2: Convert to fraction form
    48,305.25/66,648.62 = 27,882.32/x
  3. Step 3: Cross multiply
    48,305.25x = 66,648.62 × 27,882.32
  4. Step 4: Simplify right side
    48,305.25x = 1,858,317,886.86
  5. Step 5: Solve for x
    x = 1,858,317,886.86/48,305.25
  6. Step 6: Final answer
    x = 38,470.31

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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.