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Finding the Fourth Proportional to 48,974.78, 73,462.14 and 32,330.90

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Solution

The fourth proportional to 48,974.78, 73,462.14 and 32,330.90 is: 48,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974.78 : 73,462.14 = 32,330.90 : x
  2. Step 2: Convert to fraction form
    48,974.78/73,462.14 = 32,330.90/x
  3. Step 3: Cross multiply
    48,974.78x = 73,462.14 × 32,330.90
  4. Step 4: Simplify right side
    48,974.78x = 2,375,096,872.56
  5. Step 5: Solve for x
    x = 2,375,096,872.56/48,974.78
  6. Step 6: Final answer
    x = 48,496.33

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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.