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Finding the Fourth Proportional to 30,221.50, 45,333.87 and 9,446.62

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Solution

The fourth proportional to 30,221.50, 45,333.87 and 9,446.62 is: 14,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.50 : 45,333.87 = 9,446.62 : x
  2. Step 2: Convert to fraction form
    30,221.50/45,333.87 = 9,446.62/x
  3. Step 3: Cross multiply
    30,221.50x = 45,333.87 × 9,446.62
  4. Step 4: Simplify right side
    30,221.50x = 428,251,843.02
  5. Step 5: Solve for x
    x = 428,251,843.02/30,221.50
  6. Step 6: Final answer
    x = 14,170.44

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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.