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Finding the Fourth Proportional to 111,813.12, 167,661.90 and 32,917.14

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Solution

The fourth proportional to 111,813.12, 167,661.90 and 32,917.14 is: 49,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,813.12 : 167,661.90 = 32,917.14 : x
  2. Step 2: Convert to fraction form
    111,813.12/167,661.90 = 32,917.14/x
  3. Step 3: Cross multiply
    111,813.12x = 167,661.90 × 32,917.14
  4. Step 4: Simplify right side
    111,813.12x = 5,518,950,234.97
  5. Step 5: Solve for x
    x = 5,518,950,234.97/111,813.12
  6. Step 6: Final answer
    x = 49,358.70

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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.