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Finding the Fourth Proportional to 36,507.60, 50,380.38 and 19,740.60

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Solution

The fourth proportional to 36,507.60, 50,380.38 and 19,740.60 is: 27,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,507.60 : 50,380.38 = 19,740.60 : x
  2. Step 2: Convert to fraction form
    36,507.60/50,380.38 = 19,740.60/x
  3. Step 3: Cross multiply
    36,507.60x = 50,380.38 × 19,740.60
  4. Step 4: Simplify right side
    36,507.60x = 994,538,929.43
  5. Step 5: Solve for x
    x = 994,538,929.43/36,507.60
  6. Step 6: Final answer
    x = 27,241.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.