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Finding the Fourth Proportional to 34,010.20, 51,015.30 and 30,251.80

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Solution

The fourth proportional to 34,010.20, 51,015.30 and 30,251.80 is: 45,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010.20 : 51,015.30 = 30,251.80 : x
  2. Step 2: Convert to fraction form
    34,010.20/51,015.30 = 30,251.80/x
  3. Step 3: Cross multiply
    34,010.20x = 51,015.30 × 30,251.80
  4. Step 4: Simplify right side
    34,010.20x = 1,543,304,652.54
  5. Step 5: Solve for x
    x = 1,543,304,652.54/34,010.20
  6. Step 6: Final answer
    x = 45,377.70

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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.