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Finding the Fourth Proportional to 111,761.64, 167,665.95 and 32,869.26

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Solution

The fourth proportional to 111,761.64, 167,665.95 and 32,869.26 is: 49,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,761.64 : 167,665.95 = 32,869.26 : x
  2. Step 2: Convert to fraction form
    111,761.64/167,665.95 = 32,869.26/x
  3. Step 3: Cross multiply
    111,761.64x = 167,665.95 × 32,869.26
  4. Step 4: Simplify right side
    111,761.64x = 5,511,055,703.70
  5. Step 5: Solve for x
    x = 5,511,055,703.70/111,761.64
  6. Step 6: Final answer
    x = 49,310.80

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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.