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Finding the Fourth Proportional to 61,231.80, 91,826.10 and 27,967.80

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Solution

The fourth proportional to 61,231.80, 91,826.10 and 27,967.80 is: 41,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,231.80 : 91,826.10 = 27,967.80 : x
  2. Step 2: Convert to fraction form
    61,231.80/91,826.10 = 27,967.80/x
  3. Step 3: Cross multiply
    61,231.80x = 91,826.10 × 27,967.80
  4. Step 4: Simplify right side
    61,231.80x = 2,568,173,999.58
  5. Step 5: Solve for x
    x = 2,568,173,999.58/61,231.80
  6. Step 6: Final answer
    x = 41,941.83

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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.