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Finding the Fourth Proportional to 36,202.66, 49,942.78 and 22,781.32

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Solution

The fourth proportional to 36,202.66, 49,942.78 and 22,781.32 is: 31,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202.66 : 49,942.78 = 22,781.32 : x
  2. Step 2: Convert to fraction form
    36,202.66/49,942.78 = 22,781.32/x
  3. Step 3: Cross multiply
    36,202.66x = 49,942.78 × 22,781.32
  4. Step 4: Simplify right side
    36,202.66x = 1,137,762,452.87
  5. Step 5: Solve for x
    x = 1,137,762,452.87/36,202.66
  6. Step 6: Final answer
    x = 31,427.59

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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.