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Finding the Fourth Proportional to 38,195.28, 57,293.28 and 11,898

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Solution

The fourth proportional to 38,195.28, 57,293.28 and 11,898 is: 17,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.28 : 57,293.28 = 11,898 : x
  2. Step 2: Convert to fraction form
    38,195.28/57,293.28 = 11,898/x
  3. Step 3: Cross multiply
    38,195.28x = 57,293.28 × 11,898
  4. Step 4: Simplify right side
    38,195.28x = 681,675,445.44
  5. Step 5: Solve for x
    x = 681,675,445.44/38,195.28
  6. Step 6: Final answer
    x = 17,847.11

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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.