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Finding the Fourth Proportional to 35,442.79, 48,912.16 and 20,338.22

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Solution

The fourth proportional to 35,442.79, 48,912.16 and 20,338.22 is: 28,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,442.79 : 48,912.16 = 20,338.22 : x
  2. Step 2: Convert to fraction form
    35,442.79/48,912.16 = 20,338.22/x
  3. Step 3: Cross multiply
    35,442.79x = 48,912.16 × 20,338.22
  4. Step 4: Simplify right side
    35,442.79x = 994,786,162.39
  5. Step 5: Solve for x
    x = 994,786,162.39/35,442.79
  6. Step 6: Final answer
    x = 28,067.37

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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.