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Finding the Fourth Proportional to 71,493.86, 107,241.62 and 21,574.44

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Solution

The fourth proportional to 71,493.86, 107,241.62 and 21,574.44 is: 32,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,493.86 : 107,241.62 = 21,574.44 : x
  2. Step 2: Convert to fraction form
    71,493.86/107,241.62 = 21,574.44/x
  3. Step 3: Cross multiply
    71,493.86x = 107,241.62 × 21,574.44
  4. Step 4: Simplify right side
    71,493.86x = 2,313,677,788.32
  5. Step 5: Solve for x
    x = 2,313,677,788.32/71,493.86
  6. Step 6: Final answer
    x = 32,361.91

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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.