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Finding the Fourth Proportional to 48,833.56, 67,391.64 and 27,616

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Solution

The fourth proportional to 48,833.56, 67,391.64 and 27,616 is: 38,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,833.56 : 67,391.64 = 27,616 : x
  2. Step 2: Convert to fraction form
    48,833.56/67,391.64 = 27,616/x
  3. Step 3: Cross multiply
    48,833.56x = 67,391.64 × 27,616
  4. Step 4: Simplify right side
    48,833.56x = 1,861,087,530.24
  5. Step 5: Solve for x
    x = 1,861,087,530.24/48,833.56
  6. Step 6: Final answer
    x = 38,110.83

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Why These Related Problems?

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