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Finding the Fourth Proportional to 111,640.20, 167,474.82 and 36,768

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Solution

The fourth proportional to 111,640.20, 167,474.82 and 36,768 is: 55,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,640.20 : 167,474.82 = 36,768 : x
  2. Step 2: Convert to fraction form
    111,640.20/167,474.82 = 36,768/x
  3. Step 3: Cross multiply
    111,640.20x = 167,474.82 × 36,768
  4. Step 4: Simplify right side
    111,640.20x = 6,157,714,181.76
  5. Step 5: Solve for x
    x = 6,157,714,181.76/111,640.20
  6. Step 6: Final answer
    x = 55,156.78

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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.