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Finding the Fourth Proportional to 48,902.82, 73,312.14 and 20,797.14

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Solution

The fourth proportional to 48,902.82, 73,312.14 and 20,797.14 is: 31,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902.82 : 73,312.14 = 20,797.14 : x
  2. Step 2: Convert to fraction form
    48,902.82/73,312.14 = 20,797.14/x
  3. Step 3: Cross multiply
    48,902.82x = 73,312.14 × 20,797.14
  4. Step 4: Simplify right side
    48,902.82x = 1,524,682,839.28
  5. Step 5: Solve for x
    x = 1,524,682,839.28/48,902.82
  6. Step 6: Final answer
    x = 31,177.81

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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.