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Finding the Fourth Proportional to 111,691.74, 167,529.40 and 32,812.14

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Solution

The fourth proportional to 111,691.74, 167,529.40 and 32,812.14 is: 49,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,691.74 : 167,529.40 = 32,812.14 : x
  2. Step 2: Convert to fraction form
    111,691.74/167,529.40 = 32,812.14/x
  3. Step 3: Cross multiply
    111,691.74x = 167,529.40 × 32,812.14
  4. Step 4: Simplify right side
    111,691.74x = 5,496,998,126.92
  5. Step 5: Solve for x
    x = 5,496,998,126.92/111,691.74
  6. Step 6: Final answer
    x = 49,215.80

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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.