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Finding the Fourth Proportional to 31,420.20, 47,125.41 and 20,404.98

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Solution

The fourth proportional to 31,420.20, 47,125.41 and 20,404.98 is: 30,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.20 : 47,125.41 = 20,404.98 : x
  2. Step 2: Convert to fraction form
    31,420.20/47,125.41 = 20,404.98/x
  3. Step 3: Cross multiply
    31,420.20x = 47,125.41 × 20,404.98
  4. Step 4: Simplify right side
    31,420.20x = 961,593,048.54
  5. Step 5: Solve for x
    x = 961,593,048.54/31,420.20
  6. Step 6: Final answer
    x = 30,604.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.