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Finding the Fourth Proportional to 20,180, 30,270.32 and 5,588

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Solution

The fourth proportional to 20,180, 30,270.32 and 5,588 is: 8,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 30,270.32 = 5,588 : x
  2. Step 2: Convert to fraction form
    20,180/30,270.32 = 5,588/x
  3. Step 3: Cross multiply
    20,180x = 30,270.32 × 5,588
  4. Step 4: Simplify right side
    20,180x = 169,150,548.16
  5. Step 5: Solve for x
    x = 169,150,548.16/20,180
  6. Step 6: Final answer
    x = 8,382.09

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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.