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Finding the Fourth Proportional to 36,902.12, 50,923.50 and 20,135.12

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Solution

The fourth proportional to 36,902.12, 50,923.50 and 20,135.12 is: 27,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902.12 : 50,923.50 = 20,135.12 : x
  2. Step 2: Convert to fraction form
    36,902.12/50,923.50 = 20,135.12/x
  3. Step 3: Cross multiply
    36,902.12x = 50,923.50 × 20,135.12
  4. Step 4: Simplify right side
    36,902.12x = 1,025,350,783.32
  5. Step 5: Solve for x
    x = 1,025,350,783.32/36,902.12
  6. Step 6: Final answer
    x = 27,785.69

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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.