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Finding the Fourth Proportional to 38,323.20, 57,355.20 and 33,657.60

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Solution

The fourth proportional to 38,323.20, 57,355.20 and 33,657.60 is: 50,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323.20 : 57,355.20 = 33,657.60 : x
  2. Step 2: Convert to fraction form
    38,323.20/57,355.20 = 33,657.60/x
  3. Step 3: Cross multiply
    38,323.20x = 57,355.20 × 33,657.60
  4. Step 4: Simplify right side
    38,323.20x = 1,930,438,379.52
  5. Step 5: Solve for x
    x = 1,930,438,379.52/38,323.20
  6. Step 6: Final answer
    x = 50,372.58

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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.