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Finding the Fourth Proportional to 111,758.14, 167,660.70 and 32,865.76

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Solution

The fourth proportional to 111,758.14, 167,660.70 and 32,865.76 is: 49,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,758.14 : 167,660.70 = 32,865.76 : x
  2. Step 2: Convert to fraction form
    111,758.14/167,660.70 = 32,865.76/x
  3. Step 3: Cross multiply
    111,758.14x = 167,660.70 × 32,865.76
  4. Step 4: Simplify right side
    111,758.14x = 5,510,296,327.63
  5. Step 5: Solve for x
    x = 5,510,296,327.63/111,758.14
  6. Step 6: Final answer
    x = 49,305.55

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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.