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Finding the Fourth Proportional to 31,291.97, 46,658.81 and 27,814.64

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Solution

The fourth proportional to 31,291.97, 46,658.81 and 27,814.64 is: 41,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.97 : 46,658.81 = 27,814.64 : x
  2. Step 2: Convert to fraction form
    31,291.97/46,658.81 = 27,814.64/x
  3. Step 3: Cross multiply
    31,291.97x = 46,658.81 × 27,814.64
  4. Step 4: Simplify right side
    31,291.97x = 1,297,797,630.61
  5. Step 5: Solve for x
    x = 1,297,797,630.61/31,291.97
  6. Step 6: Final answer
    x = 41,473.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.