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Finding the Fourth Proportional to 38,269.98, 57,282.15 and 20,456.19

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Solution

The fourth proportional to 38,269.98, 57,282.15 and 20,456.19 is: 30,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.98 : 57,282.15 = 20,456.19 : x
  2. Step 2: Convert to fraction form
    38,269.98/57,282.15 = 20,456.19/x
  3. Step 3: Cross multiply
    38,269.98x = 57,282.15 × 20,456.19
  4. Step 4: Simplify right side
    38,269.98x = 1,171,774,544.01
  5. Step 5: Solve for x
    x = 1,171,774,544.01/38,269.98
  6. Step 6: Final answer
    x = 30,618.63

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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.