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Finding the Fourth Proportional to 38,102.44, 57,144.48 and 14,713.96

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Solution

The fourth proportional to 38,102.44, 57,144.48 and 14,713.96 is: 22,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.44 : 57,144.48 = 14,713.96 : x
  2. Step 2: Convert to fraction form
    38,102.44/57,144.48 = 14,713.96/x
  3. Step 3: Cross multiply
    38,102.44x = 57,144.48 × 14,713.96
  4. Step 4: Simplify right side
    38,102.44x = 840,821,592.94
  5. Step 5: Solve for x
    x = 840,821,592.94/38,102.44
  6. Step 6: Final answer
    x = 22,067.39

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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.