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Finding the Fourth Proportional to 56,769.80, 85,105.28 and 23,469.08

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Solution

The fourth proportional to 56,769.80, 85,105.28 and 23,469.08 is: 35,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,769.80 : 85,105.28 = 23,469.08 : x
  2. Step 2: Convert to fraction form
    56,769.80/85,105.28 = 23,469.08/x
  3. Step 3: Cross multiply
    56,769.80x = 85,105.28 × 23,469.08
  4. Step 4: Simplify right side
    56,769.80x = 1,997,342,257.89
  5. Step 5: Solve for x
    x = 1,997,342,257.89/56,769.80
  6. Step 6: Final answer
    x = 35,183.19

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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.