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Finding the Fourth Proportional to 38,853.38, 53,620.78 and 21,856.61

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Solution

The fourth proportional to 38,853.38, 53,620.78 and 21,856.61 is: 30,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.38 : 53,620.78 = 21,856.61 : x
  2. Step 2: Convert to fraction form
    38,853.38/53,620.78 = 21,856.61/x
  3. Step 3: Cross multiply
    38,853.38x = 53,620.78 × 21,856.61
  4. Step 4: Simplify right side
    38,853.38x = 1,171,968,476.36
  5. Step 5: Solve for x
    x = 1,171,968,476.36/38,853.38
  6. Step 6: Final answer
    x = 30,163.87

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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.