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Finding the Fourth Proportional to 51,493.96, 77,249.22 and 21,912.04

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Solution

The fourth proportional to 51,493.96, 77,249.22 and 21,912.04 is: 32,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,493.96 : 77,249.22 = 21,912.04 : x
  2. Step 2: Convert to fraction form
    51,493.96/77,249.22 = 21,912.04/x
  3. Step 3: Cross multiply
    51,493.96x = 77,249.22 × 21,912.04
  4. Step 4: Simplify right side
    51,493.96x = 1,692,687,998.61
  5. Step 5: Solve for x
    x = 1,692,687,998.61/51,493.96
  6. Step 6: Final answer
    x = 32,871.58

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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.