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Finding the Fourth Proportional to 37,936.44, 52,336.02 and 27,847.44

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Solution

The fourth proportional to 37,936.44, 52,336.02 and 27,847.44 is: 38,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,936.44 : 52,336.02 = 27,847.44 : x
  2. Step 2: Convert to fraction form
    37,936.44/52,336.02 = 27,847.44/x
  3. Step 3: Cross multiply
    37,936.44x = 52,336.02 × 27,847.44
  4. Step 4: Simplify right side
    37,936.44x = 1,457,424,176.79
  5. Step 5: Solve for x
    x = 1,457,424,176.79/37,936.44
  6. Step 6: Final answer
    x = 38,417.53

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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.