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Finding the Fourth Proportional to 20,078.75, 30,115.74 and 5,288.87

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Solution

The fourth proportional to 20,078.75, 30,115.74 and 5,288.87 is: 7,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.75 : 30,115.74 = 5,288.87 : x
  2. Step 2: Convert to fraction form
    20,078.75/30,115.74 = 5,288.87/x
  3. Step 3: Cross multiply
    20,078.75x = 30,115.74 × 5,288.87
  4. Step 4: Simplify right side
    20,078.75x = 159,278,233.81
  5. Step 5: Solve for x
    x = 159,278,233.81/20,078.75
  6. Step 6: Final answer
    x = 7,932.68

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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.