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Finding the Fourth Proportional to 27,642.88, 41,429.68 and 19,732.96

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Solution

The fourth proportional to 27,642.88, 41,429.68 and 19,732.96 is: 29,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.88 : 41,429.68 = 19,732.96 : x
  2. Step 2: Convert to fraction form
    27,642.88/41,429.68 = 19,732.96/x
  3. Step 3: Cross multiply
    27,642.88x = 41,429.68 × 19,732.96
  4. Step 4: Simplify right side
    27,642.88x = 817,530,218.25
  5. Step 5: Solve for x
    x = 817,530,218.25/27,642.88
  6. Step 6: Final answer
    x = 29,574.71

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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.