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Finding the Fourth Proportional to 27,765.24, 41,654.07 and 8,045.31

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Solution

The fourth proportional to 27,765.24, 41,654.07 and 8,045.31 is: 12,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.24 : 41,654.07 = 8,045.31 : x
  2. Step 2: Convert to fraction form
    27,765.24/41,654.07 = 8,045.31/x
  3. Step 3: Cross multiply
    27,765.24x = 41,654.07 × 8,045.31
  4. Step 4: Simplify right side
    27,765.24x = 335,119,905.91
  5. Step 5: Solve for x
    x = 335,119,905.91/27,765.24
  6. Step 6: Final answer
    x = 12,069.76

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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.