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Finding the Fourth Proportional to 20,034.75, 30,057 and 6,183.75

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Solution

The fourth proportional to 20,034.75, 30,057 and 6,183.75 is: 9,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.75 : 30,057 = 6,183.75 : x
  2. Step 2: Convert to fraction form
    20,034.75/30,057 = 6,183.75/x
  3. Step 3: Cross multiply
    20,034.75x = 30,057 × 6,183.75
  4. Step 4: Simplify right side
    20,034.75x = 185,864,973.75
  5. Step 5: Solve for x
    x = 185,864,973.75/20,034.75
  6. Step 6: Final answer
    x = 9,277.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.