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Finding the Fourth Proportional to 49,188.44, 67,873.20 and 27,965.36

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Solution

The fourth proportional to 49,188.44, 67,873.20 and 27,965.36 is: 38,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188.44 : 67,873.20 = 27,965.36 : x
  2. Step 2: Convert to fraction form
    49,188.44/67,873.20 = 27,965.36/x
  3. Step 3: Cross multiply
    49,188.44x = 67,873.20 × 27,965.36
  4. Step 4: Simplify right side
    49,188.44x = 1,898,098,472.35
  5. Step 5: Solve for x
    x = 1,898,098,472.35/49,188.44
  6. Step 6: Final answer
    x = 38,588.30

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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.