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Finding the Fourth Proportional to 29,662.43, 44,493.12 and 7,475.31

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Solution

The fourth proportional to 29,662.43, 44,493.12 and 7,475.31 is: 11,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662.43 : 44,493.12 = 7,475.31 : x
  2. Step 2: Convert to fraction form
    29,662.43/44,493.12 = 7,475.31/x
  3. Step 3: Cross multiply
    29,662.43x = 44,493.12 × 7,475.31
  4. Step 4: Simplify right side
    29,662.43x = 332,599,864.87
  5. Step 5: Solve for x
    x = 332,599,864.87/29,662.43
  6. Step 6: Final answer
    x = 11,212.83

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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.