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Finding the Fourth Proportional to 36,414.96, 54,624.36 and 20,847.60

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Solution

The fourth proportional to 36,414.96, 54,624.36 and 20,847.60 is: 31,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414.96 : 54,624.36 = 20,847.60 : x
  2. Step 2: Convert to fraction form
    36,414.96/54,624.36 = 20,847.60/x
  3. Step 3: Cross multiply
    36,414.96x = 54,624.36 × 20,847.60
  4. Step 4: Simplify right side
    36,414.96x = 1,138,786,807.54
  5. Step 5: Solve for x
    x = 1,138,786,807.54/36,414.96
  6. Step 6: Final answer
    x = 31,272.50

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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.