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Finding the Fourth Proportional to 38,047.80, 57,104.10 and 17,020.20

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Solution

The fourth proportional to 38,047.80, 57,104.10 and 17,020.20 is: 25,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.80 : 57,104.10 = 17,020.20 : x
  2. Step 2: Convert to fraction form
    38,047.80/57,104.10 = 17,020.20/x
  3. Step 3: Cross multiply
    38,047.80x = 57,104.10 × 17,020.20
  4. Step 4: Simplify right side
    38,047.80x = 971,923,202.82
  5. Step 5: Solve for x
    x = 971,923,202.82/38,047.80
  6. Step 6: Final answer
    x = 25,544.79

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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.