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Finding the Fourth Proportional to 71,493.62, 107,241.25 and 21,574.15

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Solution

The fourth proportional to 71,493.62, 107,241.25 and 21,574.15 is: 32,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,493.62 : 107,241.25 = 21,574.15 : x
  2. Step 2: Convert to fraction form
    71,493.62/107,241.25 = 21,574.15/x
  3. Step 3: Cross multiply
    71,493.62x = 107,241.25 × 21,574.15
  4. Step 4: Simplify right side
    71,493.62x = 2,313,638,623.12
  5. Step 5: Solve for x
    x = 2,313,638,623.12/71,493.62
  6. Step 6: Final answer
    x = 32,361.47

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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.