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Finding the Fourth Proportional to 36,909.42, 50,935.14 and 20,142.42

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Solution

The fourth proportional to 36,909.42, 50,935.14 and 20,142.42 is: 27,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909.42 : 50,935.14 = 20,142.42 : x
  2. Step 2: Convert to fraction form
    36,909.42/50,935.14 = 20,142.42/x
  3. Step 3: Cross multiply
    36,909.42x = 50,935.14 × 20,142.42
  4. Step 4: Simplify right side
    36,909.42x = 1,025,956,982.64
  5. Step 5: Solve for x
    x = 1,025,956,982.64/36,909.42
  6. Step 6: Final answer
    x = 27,796.62

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1.5x scale

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.