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Finding the Fourth Proportional to 49,080.66, 67,734.81 and 27,861.30

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Solution

The fourth proportional to 49,080.66, 67,734.81 and 27,861.30 is: 38,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,080.66 : 67,734.81 = 27,861.30 : x
  2. Step 2: Convert to fraction form
    49,080.66/67,734.81 = 27,861.30/x
  3. Step 3: Cross multiply
    49,080.66x = 67,734.81 × 27,861.30
  4. Step 4: Simplify right side
    49,080.66x = 1,887,179,861.85
  5. Step 5: Solve for x
    x = 1,887,179,861.85/49,080.66
  6. Step 6: Final answer
    x = 38,450.58

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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.