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Finding the Fourth Proportional to 27,845.94, 41,769 and 8,125.02

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Solution

The fourth proportional to 27,845.94, 41,769 and 8,125.02 is: 12,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.94 : 41,769 = 8,125.02 : x
  2. Step 2: Convert to fraction form
    27,845.94/41,769 = 8,125.02/x
  3. Step 3: Cross multiply
    27,845.94x = 41,769 × 8,125.02
  4. Step 4: Simplify right side
    27,845.94x = 339,373,960.38
  5. Step 5: Solve for x
    x = 339,373,960.38/27,845.94
  6. Step 6: Final answer
    x = 12,187.56

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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.