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Finding the Fourth Proportional to 49,022.96, 67,658.68 and 27,515

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Solution

The fourth proportional to 49,022.96, 67,658.68 and 27,515 is: 37,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,022.96 : 67,658.68 = 27,515 : x
  2. Step 2: Convert to fraction form
    49,022.96/67,658.68 = 27,515/x
  3. Step 3: Cross multiply
    49,022.96x = 67,658.68 × 27,515
  4. Step 4: Simplify right side
    49,022.96x = 1,861,628,580.20
  5. Step 5: Solve for x
    x = 1,861,628,580.20/49,022.96
  6. Step 6: Final answer
    x = 37,974.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.