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Finding the Fourth Proportional to 38,096.59, 57,144.27 and 10,394.59

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Solution

The fourth proportional to 38,096.59, 57,144.27 and 10,394.59 is: 15,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.59 : 57,144.27 = 10,394.59 : x
  2. Step 2: Convert to fraction form
    38,096.59/57,144.27 = 10,394.59/x
  3. Step 3: Cross multiply
    38,096.59x = 57,144.27 × 10,394.59
  4. Step 4: Simplify right side
    38,096.59x = 593,991,257.50
  5. Step 5: Solve for x
    x = 593,991,257.50/38,096.59
  6. Step 6: Final answer
    x = 15,591.72

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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.