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Finding the Fourth Proportional to 38,131, 52,620.78 and 23,227

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Solution

The fourth proportional to 38,131, 52,620.78 and 23,227 is: 32,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,131 : 52,620.78 = 23,227 : x
  2. Step 2: Convert to fraction form
    38,131/52,620.78 = 23,227/x
  3. Step 3: Cross multiply
    38,131x = 52,620.78 × 23,227
  4. Step 4: Simplify right side
    38,131x = 1,222,222,857.06
  5. Step 5: Solve for x
    x = 1,222,222,857.06/38,131
  6. Step 6: Final answer
    x = 32,053.26

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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.