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Finding the Fourth Proportional to 27,825.95, 41,739 and 8,104.99

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Solution

The fourth proportional to 27,825.95, 41,739 and 8,104.99 is: 12,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.95 : 41,739 = 8,104.99 : x
  2. Step 2: Convert to fraction form
    27,825.95/41,739 = 8,104.99/x
  3. Step 3: Cross multiply
    27,825.95x = 41,739 × 8,104.99
  4. Step 4: Simplify right side
    27,825.95x = 338,294,177.61
  5. Step 5: Solve for x
    x = 338,294,177.61/27,825.95
  6. Step 6: Final answer
    x = 12,157.51

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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.