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Finding the Fourth Proportional to 49,107.94, 67,770.58 and 27,601.44

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Solution

The fourth proportional to 49,107.94, 67,770.58 and 27,601.44 is: 38,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,107.94 : 67,770.58 = 27,601.44 : x
  2. Step 2: Convert to fraction form
    49,107.94/67,770.58 = 27,601.44/x
  3. Step 3: Cross multiply
    49,107.94x = 67,770.58 × 27,601.44
  4. Step 4: Simplify right side
    49,107.94x = 1,870,565,597.64
  5. Step 5: Solve for x
    x = 1,870,565,597.64/49,107.94
  6. Step 6: Final answer
    x = 38,090.90

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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.