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Finding the Fourth Proportional to 71,933.46, 107,900.19 and 32,468.82

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Solution

The fourth proportional to 71,933.46, 107,900.19 and 32,468.82 is: 48,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,933.46 : 107,900.19 = 32,468.82 : x
  2. Step 2: Convert to fraction form
    71,933.46/107,900.19 = 32,468.82/x
  3. Step 3: Cross multiply
    71,933.46x = 107,900.19 × 32,468.82
  4. Step 4: Simplify right side
    71,933.46x = 3,503,391,847.08
  5. Step 5: Solve for x
    x = 3,503,391,847.08/71,933.46
  6. Step 6: Final answer
    x = 48,703.23

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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.