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Finding the Fourth Proportional to 38,076.44, 57,138.28 and 18,357

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Solution

The fourth proportional to 38,076.44, 57,138.28 and 18,357 is: 27,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.44 : 57,138.28 = 18,357 : x
  2. Step 2: Convert to fraction form
    38,076.44/57,138.28 = 18,357/x
  3. Step 3: Cross multiply
    38,076.44x = 57,138.28 × 18,357
  4. Step 4: Simplify right side
    38,076.44x = 1,048,887,405.96
  5. Step 5: Solve for x
    x = 1,048,887,405.96/38,076.44
  6. Step 6: Final answer
    x = 27,546.89

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