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Finding the Fourth Proportional to 55,452.96, 83,154.24 and 35,857.44

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Solution

The fourth proportional to 55,452.96, 83,154.24 and 35,857.44 is: 53,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,452.96 : 83,154.24 = 35,857.44 : x
  2. Step 2: Convert to fraction form
    55,452.96/83,154.24 = 35,857.44/x
  3. Step 3: Cross multiply
    55,452.96x = 83,154.24 × 35,857.44
  4. Step 4: Simplify right side
    55,452.96x = 2,981,698,171.55
  5. Step 5: Solve for x
    x = 2,981,698,171.55/55,452.96
  6. Step 6: Final answer
    x = 53,769.86

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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.