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Finding the Fourth Proportional to 71,816.58, 107,732.36 and 27,480.42

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Solution

The fourth proportional to 71,816.58, 107,732.36 and 27,480.42 is: 41,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.58 : 107,732.36 = 27,480.42 : x
  2. Step 2: Convert to fraction form
    71,816.58/107,732.36 = 27,480.42/x
  3. Step 3: Cross multiply
    71,816.58x = 107,732.36 × 27,480.42
  4. Step 4: Simplify right side
    71,816.58x = 2,960,530,500.39
  5. Step 5: Solve for x
    x = 2,960,530,500.39/71,816.58
  6. Step 6: Final answer
    x = 41,223.50

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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.