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Finding the Fourth Proportional to 48,019, 66,266.82 and 27,876.73

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Solution

The fourth proportional to 48,019, 66,266.82 and 27,876.73 is: 38,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,019 : 66,266.82 = 27,876.73 : x
  2. Step 2: Convert to fraction form
    48,019/66,266.82 = 27,876.73/x
  3. Step 3: Cross multiply
    48,019x = 66,266.82 × 27,876.73
  4. Step 4: Simplify right side
    48,019x = 1,847,302,249.10
  5. Step 5: Solve for x
    x = 1,847,302,249.10/48,019
  6. Step 6: Final answer
    x = 38,470.24

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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.