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Finding the Fourth Proportional to 38,135.20, 57,202.80 and 11,842.60

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Solution

The fourth proportional to 38,135.20, 57,202.80 and 11,842.60 is: 17,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,135.20 : 57,202.80 = 11,842.60 : x
  2. Step 2: Convert to fraction form
    38,135.20/57,202.80 = 11,842.60/x
  3. Step 3: Cross multiply
    38,135.20x = 57,202.80 × 11,842.60
  4. Step 4: Simplify right side
    38,135.20x = 677,429,879.28
  5. Step 5: Solve for x
    x = 677,429,879.28/38,135.20
  6. Step 6: Final answer
    x = 17,763.90

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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.