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Finding the Fourth Proportional to 38,211.62, 52,731 and 22,906.82

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Solution

The fourth proportional to 38,211.62, 52,731 and 22,906.82 is: 31,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211.62 : 52,731 = 22,906.82 : x
  2. Step 2: Convert to fraction form
    38,211.62/52,731 = 22,906.82/x
  3. Step 3: Cross multiply
    38,211.62x = 52,731 × 22,906.82
  4. Step 4: Simplify right side
    38,211.62x = 1,207,899,525.42
  5. Step 5: Solve for x
    x = 1,207,899,525.42/38,211.62
  6. Step 6: Final answer
    x = 31,610.79

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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.