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Finding the Fourth Proportional to 49,142.47, 67,814.60 and 27,631.60

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Solution

The fourth proportional to 49,142.47, 67,814.60 and 27,631.60 is: 38,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142.47 : 67,814.60 = 27,631.60 : x
  2. Step 2: Convert to fraction form
    49,142.47/67,814.60 = 27,631.60/x
  3. Step 3: Cross multiply
    49,142.47x = 67,814.60 × 27,631.60
  4. Step 4: Simplify right side
    49,142.47x = 1,873,825,847.97
  5. Step 5: Solve for x
    x = 1,873,825,847.97/49,142.47
  6. Step 6: Final answer
    x = 38,130.48

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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.