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Finding the Fourth Proportional to 38,311.80, 57,419.02 and 17,229.32

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Solution

The fourth proportional to 38,311.80, 57,419.02 and 17,229.32 is: 25,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311.80 : 57,419.02 = 17,229.32 : x
  2. Step 2: Convert to fraction form
    38,311.80/57,419.02 = 17,229.32/x
  3. Step 3: Cross multiply
    38,311.80x = 57,419.02 × 17,229.32
  4. Step 4: Simplify right side
    38,311.80x = 989,290,669.67
  5. Step 5: Solve for x
    x = 989,290,669.67/38,311.80
  6. Step 6: Final answer
    x = 25,822.09

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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.