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Finding the Fourth Proportional to 111,887.83, 167,827.65 and 27,647.33

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Solution

The fourth proportional to 111,887.83, 167,827.65 and 27,647.33 is: 41,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,887.83 : 167,827.65 = 27,647.33 : x
  2. Step 2: Convert to fraction form
    111,887.83/167,827.65 = 27,647.33/x
  3. Step 3: Cross multiply
    111,887.83x = 167,827.65 × 27,647.33
  4. Step 4: Simplify right side
    111,887.83x = 4,639,985,479.86
  5. Step 5: Solve for x
    x = 4,639,985,479.86/111,887.83
  6. Step 6: Final answer
    x = 41,469.97

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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.