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Finding the Fourth Proportional to 27,451.62, 41,179.86 and 7,730.37

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Solution

The fourth proportional to 27,451.62, 41,179.86 and 7,730.37 is: 11,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451.62 : 41,179.86 = 7,730.37 : x
  2. Step 2: Convert to fraction form
    27,451.62/41,179.86 = 7,730.37/x
  3. Step 3: Cross multiply
    27,451.62x = 41,179.86 × 7,730.37
  4. Step 4: Simplify right side
    27,451.62x = 318,335,554.35
  5. Step 5: Solve for x
    x = 318,335,554.35/27,451.62
  6. Step 6: Final answer
    x = 11,596.24

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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.