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Finding the Fourth Proportional to 20,032, 30,048.41 and 6,181

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Solution

The fourth proportional to 20,032, 30,048.41 and 6,181 is: 9,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 30,048.41 = 6,181 : x
  2. Step 2: Convert to fraction form
    20,032/30,048.41 = 6,181/x
  3. Step 3: Cross multiply
    20,032x = 30,048.41 × 6,181
  4. Step 4: Simplify right side
    20,032x = 185,729,222.21
  5. Step 5: Solve for x
    x = 185,729,222.21/20,032
  6. Step 6: Final answer
    x = 9,271.63

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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.