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Finding the Fourth Proportional to 36,565.20, 54,847.80 and 23,443.20

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Solution

The fourth proportional to 36,565.20, 54,847.80 and 23,443.20 is: 35,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,565.20 : 54,847.80 = 23,443.20 : x
  2. Step 2: Convert to fraction form
    36,565.20/54,847.80 = 23,443.20/x
  3. Step 3: Cross multiply
    36,565.20x = 54,847.80 × 23,443.20
  4. Step 4: Simplify right side
    36,565.20x = 1,285,807,944.96
  5. Step 5: Solve for x
    x = 1,285,807,944.96/36,565.20
  6. Step 6: Final answer
    x = 35,164.80

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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.