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Finding the Fourth Proportional to 38,227.24, 52,822.04 and 29,906.92

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Solution

The fourth proportional to 38,227.24, 52,822.04 and 29,906.92 is: 41,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227.24 : 52,822.04 = 29,906.92 : x
  2. Step 2: Convert to fraction form
    38,227.24/52,822.04 = 29,906.92/x
  3. Step 3: Cross multiply
    38,227.24x = 52,822.04 × 29,906.92
  4. Step 4: Simplify right side
    38,227.24x = 1,579,744,524.52
  5. Step 5: Solve for x
    x = 1,579,744,524.52/38,227.24
  6. Step 6: Final answer
    x = 41,325.10

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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.