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Finding the Fourth Proportional to 20,031, 30,046.91 and 6,180

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Solution

The fourth proportional to 20,031, 30,046.91 and 6,180 is: 9,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031 : 30,046.91 = 6,180 : x
  2. Step 2: Convert to fraction form
    20,031/30,046.91 = 6,180/x
  3. Step 3: Cross multiply
    20,031x = 30,046.91 × 6,180
  4. Step 4: Simplify right side
    20,031x = 185,689,903.80
  5. Step 5: Solve for x
    x = 185,689,903.80/20,031
  6. Step 6: Final answer
    x = 9,270.13

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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.