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Finding the Fourth Proportional to 38,052.56, 57,102.60 and 27,380

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Solution

The fourth proportional to 38,052.56, 57,102.60 and 27,380 is: 41,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052.56 : 57,102.60 = 27,380 : x
  2. Step 2: Convert to fraction form
    38,052.56/57,102.60 = 27,380/x
  3. Step 3: Cross multiply
    38,052.56x = 57,102.60 × 27,380
  4. Step 4: Simplify right side
    38,052.56x = 1,563,469,188
  5. Step 5: Solve for x
    x = 1,563,469,188/38,052.56
  6. Step 6: Final answer
    x = 41,087.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.