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Finding the Fourth Proportional to 48,016.50, 66,263.37 and 27,874.23

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Solution

The fourth proportional to 48,016.50, 66,263.37 and 27,874.23 is: 38,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,016.50 : 66,263.37 = 27,874.23 : x
  2. Step 2: Convert to fraction form
    48,016.50/66,263.37 = 27,874.23/x
  3. Step 3: Cross multiply
    48,016.50x = 66,263.37 × 27,874.23
  4. Step 4: Simplify right side
    48,016.50x = 1,847,040,062.94
  5. Step 5: Solve for x
    x = 1,847,040,062.94/48,016.50
  6. Step 6: Final answer
    x = 38,466.78

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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.