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Finding the Fourth Proportional to 48,960.12, 67,564.80 and 27,743.43

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Solution

The fourth proportional to 48,960.12, 67,564.80 and 27,743.43 is: 38,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,960.12 : 67,564.80 = 27,743.43 : x
  2. Step 2: Convert to fraction form
    48,960.12/67,564.80 = 27,743.43/x
  3. Step 3: Cross multiply
    48,960.12x = 67,564.80 × 27,743.43
  4. Step 4: Simplify right side
    48,960.12x = 1,874,479,299.26
  5. Step 5: Solve for x
    x = 1,874,479,299.26/48,960.12
  6. Step 6: Final answer
    x = 38,285.84

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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.