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Finding the Fourth Proportional to 111,778.28, 167,631.84 and 36,884.46

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Solution

The fourth proportional to 111,778.28, 167,631.84 and 36,884.46 is: 55,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,778.28 : 167,631.84 = 36,884.46 : x
  2. Step 2: Convert to fraction form
    111,778.28/167,631.84 = 36,884.46/x
  3. Step 3: Cross multiply
    111,778.28x = 167,631.84 × 36,884.46
  4. Step 4: Simplify right side
    111,778.28x = 6,183,010,525.83
  5. Step 5: Solve for x
    x = 6,183,010,525.83/111,778.28
  6. Step 6: Final answer
    x = 55,314.96

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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.