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Finding the Fourth Proportional to 20,178.80, 30,262.80 and 7,029.80

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Solution

The fourth proportional to 20,178.80, 30,262.80 and 7,029.80 is: 10,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.80 : 30,262.80 = 7,029.80 : x
  2. Step 2: Convert to fraction form
    20,178.80/30,262.80 = 7,029.80/x
  3. Step 3: Cross multiply
    20,178.80x = 30,262.80 × 7,029.80
  4. Step 4: Simplify right side
    20,178.80x = 212,741,431.44
  5. Step 5: Solve for x
    x = 212,741,431.44/20,178.80
  6. Step 6: Final answer
    x = 10,542.82

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1.5x scale

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.