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Finding the Fourth Proportional to 71,658.48, 107,493.18 and 21,742.62

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Solution

The fourth proportional to 71,658.48, 107,493.18 and 21,742.62 is: 32,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658.48 : 107,493.18 = 21,742.62 : x
  2. Step 2: Convert to fraction form
    71,658.48/107,493.18 = 21,742.62/x
  3. Step 3: Cross multiply
    71,658.48x = 107,493.18 × 21,742.62
  4. Step 4: Simplify right side
    71,658.48x = 2,337,183,365.33
  5. Step 5: Solve for x
    x = 2,337,183,365.33/71,658.48
  6. Step 6: Final answer
    x = 32,615.59

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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.