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Finding the Fourth Proportional to 38,079.60, 57,121.83 and 11,782.14

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Solution

The fourth proportional to 38,079.60, 57,121.83 and 11,782.14 is: 17,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,079.60 : 57,121.83 = 11,782.14 : x
  2. Step 2: Convert to fraction form
    38,079.60/57,121.83 = 11,782.14/x
  3. Step 3: Cross multiply
    38,079.60x = 57,121.83 × 11,782.14
  4. Step 4: Simplify right side
    38,079.60x = 673,017,398.12
  5. Step 5: Solve for x
    x = 673,017,398.12/38,079.60
  6. Step 6: Final answer
    x = 17,673.96

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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.