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Finding the Fourth Proportional to 38,338.26, 52,906.80 and 21,571.26

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Solution

The fourth proportional to 38,338.26, 52,906.80 and 21,571.26 is: 29,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338.26 : 52,906.80 = 21,571.26 : x
  2. Step 2: Convert to fraction form
    38,338.26/52,906.80 = 21,571.26/x
  3. Step 3: Cross multiply
    38,338.26x = 52,906.80 × 21,571.26
  4. Step 4: Simplify right side
    38,338.26x = 1,141,266,338.57
  5. Step 5: Solve for x
    x = 1,141,266,338.57/38,338.26
  6. Step 6: Final answer
    x = 29,768.34

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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.