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Finding the Fourth Proportional to 27,846.80, 41,770.18 and 8,125.35

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Solution

The fourth proportional to 27,846.80, 41,770.18 and 8,125.35 is: 12,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.80 : 41,770.18 = 8,125.35 : x
  2. Step 2: Convert to fraction form
    27,846.80/41,770.18 = 8,125.35/x
  3. Step 3: Cross multiply
    27,846.80x = 41,770.18 × 8,125.35
  4. Step 4: Simplify right side
    27,846.80x = 339,397,332.06
  5. Step 5: Solve for x
    x = 339,397,332.06/27,846.80
  6. Step 6: Final answer
    x = 12,188.02

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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.