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Finding the Fourth Proportional to 20,000.20, 29,942.70 and 19,424.20

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Solution

The fourth proportional to 20,000.20, 29,942.70 and 19,424.20 is: 29,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.20 : 29,942.70 = 19,424.20 : x
  2. Step 2: Convert to fraction form
    20,000.20/29,942.70 = 19,424.20/x
  3. Step 3: Cross multiply
    20,000.20x = 29,942.70 × 19,424.20
  4. Step 4: Simplify right side
    20,000.20x = 581,612,993.34
  5. Step 5: Solve for x
    x = 581,612,993.34/20,000.20
  6. Step 6: Final answer
    x = 29,080.36

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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.