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Finding the Fourth Proportional to 34,747.67, 52,120.89 and 8,452.64

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Solution

The fourth proportional to 34,747.67, 52,120.89 and 8,452.64 is: 12,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,747.67 : 52,120.89 = 8,452.64 : x
  2. Step 2: Convert to fraction form
    34,747.67/52,120.89 = 8,452.64/x
  3. Step 3: Cross multiply
    34,747.67x = 52,120.89 × 8,452.64
  4. Step 4: Simplify right side
    34,747.67x = 440,558,859.05
  5. Step 5: Solve for x
    x = 440,558,859.05/34,747.67
  6. Step 6: Final answer
    x = 12,678.80

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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.