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Finding the Fourth Proportional to 111,658.80, 167,503.68 and 32,761.92

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Solution

The fourth proportional to 111,658.80, 167,503.68 and 32,761.92 is: 49,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,658.80 : 167,503.68 = 32,761.92 : x
  2. Step 2: Convert to fraction form
    111,658.80/167,503.68 = 32,761.92/x
  3. Step 3: Cross multiply
    111,658.80x = 167,503.68 × 32,761.92
  4. Step 4: Simplify right side
    111,658.80x = 5,487,742,163.87
  5. Step 5: Solve for x
    x = 5,487,742,163.87/111,658.80
  6. Step 6: Final answer
    x = 49,147.42

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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.