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Finding the Fourth Proportional to 20,180.92, 30,271.38 and 6,331

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Solution

The fourth proportional to 20,180.92, 30,271.38 and 6,331 is: 9,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.92 : 30,271.38 = 6,331 : x
  2. Step 2: Convert to fraction form
    20,180.92/30,271.38 = 6,331/x
  3. Step 3: Cross multiply
    20,180.92x = 30,271.38 × 6,331
  4. Step 4: Simplify right side
    20,180.92x = 191,648,106.78
  5. Step 5: Solve for x
    x = 191,648,106.78/20,180.92
  6. Step 6: Final answer
    x = 9,496.50

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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.