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Finding the Fourth Proportional to 38,193.20, 57,241.20 and 34,013.60

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Solution

The fourth proportional to 38,193.20, 57,241.20 and 34,013.60 is: 50,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.20 : 57,241.20 = 34,013.60 : x
  2. Step 2: Convert to fraction form
    38,193.20/57,241.20 = 34,013.60/x
  3. Step 3: Cross multiply
    38,193.20x = 57,241.20 × 34,013.60
  4. Step 4: Simplify right side
    38,193.20x = 1,946,979,280.32
  5. Step 5: Solve for x
    x = 1,946,979,280.32/38,193.20
  6. Step 6: Final answer
    x = 50,977.12

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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.