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Finding the Fourth Proportional to 111,898.24, 167,845.72 and 27,658.42

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Solution

The fourth proportional to 111,898.24, 167,845.72 and 27,658.42 is: 41,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,898.24 : 167,845.72 = 27,658.42 : x
  2. Step 2: Convert to fraction form
    111,898.24/167,845.72 = 27,658.42/x
  3. Step 3: Cross multiply
    111,898.24x = 167,845.72 × 27,658.42
  4. Step 4: Simplify right side
    111,898.24x = 4,642,347,418.96
  5. Step 5: Solve for x
    x = 4,642,347,418.96/111,898.24
  6. Step 6: Final answer
    x = 41,487.22

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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.