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Finding the Fourth Proportional to 27,847.58, 41,780.93 and 8,129.03

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Solution

The fourth proportional to 27,847.58, 41,780.93 and 8,129.03 is: 12,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.58 : 41,780.93 = 8,129.03 : x
  2. Step 2: Convert to fraction form
    27,847.58/41,780.93 = 8,129.03/x
  3. Step 3: Cross multiply
    27,847.58x = 41,780.93 × 8,129.03
  4. Step 4: Simplify right side
    27,847.58x = 339,638,183.85
  5. Step 5: Solve for x
    x = 339,638,183.85/27,847.58
  6. Step 6: Final answer
    x = 12,196.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.