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Finding the Fourth Proportional to 38,096.09, 57,143.52 and 10,394.09

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Solution

The fourth proportional to 38,096.09, 57,143.52 and 10,394.09 is: 15,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.09 : 57,143.52 = 10,394.09 : x
  2. Step 2: Convert to fraction form
    38,096.09/57,143.52 = 10,394.09/x
  3. Step 3: Cross multiply
    38,096.09x = 57,143.52 × 10,394.09
  4. Step 4: Simplify right side
    38,096.09x = 593,954,889.80
  5. Step 5: Solve for x
    x = 593,954,889.80/38,096.09
  6. Step 6: Final answer
    x = 15,590.97

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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.