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Finding the Fourth Proportional to 111,873.88, 167,785.19 and 31,910.33

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Solution

The fourth proportional to 111,873.88, 167,785.19 and 31,910.33 is: 47,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,873.88 : 167,785.19 = 31,910.33 : x
  2. Step 2: Convert to fraction form
    111,873.88/167,785.19 = 31,910.33/x
  3. Step 3: Cross multiply
    111,873.88x = 167,785.19 × 31,910.33
  4. Step 4: Simplify right side
    111,873.88x = 5,354,080,442.33
  5. Step 5: Solve for x
    x = 5,354,080,442.33/111,873.88
  6. Step 6: Final answer
    x = 47,858.18

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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.