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Finding the Fourth Proportional to 48,163.44, 72,273.72 and 21,867.84

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Solution

The fourth proportional to 48,163.44, 72,273.72 and 21,867.84 is: 32,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,163.44 : 72,273.72 = 21,867.84 : x
  2. Step 2: Convert to fraction form
    48,163.44/72,273.72 = 21,867.84/x
  3. Step 3: Cross multiply
    48,163.44x = 72,273.72 × 21,867.84
  4. Step 4: Simplify right side
    48,163.44x = 1,580,470,145.16
  5. Step 5: Solve for x
    x = 1,580,470,145.16/48,163.44
  6. Step 6: Final answer
    x = 32,814.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.