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Finding the Fourth Proportional to 71,523.88, 107,286.63 and 21,604.39

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Solution

The fourth proportional to 71,523.88, 107,286.63 and 21,604.39 is: 32,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523.88 : 107,286.63 = 21,604.39 : x
  2. Step 2: Convert to fraction form
    71,523.88/107,286.63 = 21,604.39/x
  3. Step 3: Cross multiply
    71,523.88x = 107,286.63 × 21,604.39
  4. Step 4: Simplify right side
    71,523.88x = 2,317,862,196.31
  5. Step 5: Solve for x
    x = 2,317,862,196.31/71,523.88
  6. Step 6: Final answer
    x = 32,406.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.