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Finding the Fourth Proportional to 38,071, 57,067.62 and 15,896.44

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Solution

The fourth proportional to 38,071, 57,067.62 and 15,896.44 is: 23,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,071 : 57,067.62 = 15,896.44 : x
  2. Step 2: Convert to fraction form
    38,071/57,067.62 = 15,896.44/x
  3. Step 3: Cross multiply
    38,071x = 57,067.62 × 15,896.44
  4. Step 4: Simplify right side
    38,071x = 907,171,997.27
  5. Step 5: Solve for x
    x = 907,171,997.27/38,071
  6. Step 6: Final answer
    x = 23,828.43

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1.5x scale

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.