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Finding the Fourth Proportional to 38,286.31, 52,839.86 and 21,519.31

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Solution

The fourth proportional to 38,286.31, 52,839.86 and 21,519.31 is: 29,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286.31 : 52,839.86 = 21,519.31 : x
  2. Step 2: Convert to fraction form
    38,286.31/52,839.86 = 21,519.31/x
  3. Step 3: Cross multiply
    38,286.31x = 52,839.86 × 21,519.31
  4. Step 4: Simplify right side
    38,286.31x = 1,137,077,327.70
  5. Step 5: Solve for x
    x = 1,137,077,327.70/38,286.31
  6. Step 6: Final answer
    x = 29,699.32

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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.