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Finding the Fourth Proportional to 111,584.16, 167,394.24 and 36,682.56

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Solution

The fourth proportional to 111,584.16, 167,394.24 and 36,682.56 is: 55,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,584.16 : 167,394.24 = 36,682.56 : x
  2. Step 2: Convert to fraction form
    111,584.16/167,394.24 = 36,682.56/x
  3. Step 3: Cross multiply
    111,584.16x = 167,394.24 × 36,682.56
  4. Step 4: Simplify right side
    111,584.16x = 6,140,449,252.45
  5. Step 5: Solve for x
    x = 6,140,449,252.45/111,584.16
  6. Step 6: Final answer
    x = 55,029.76

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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.