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Finding the Fourth Proportional to 20,349.40, 30,524.10 and 20,219.80

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Solution

The fourth proportional to 20,349.40, 30,524.10 and 20,219.80 is: 30,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.40 : 30,524.10 = 20,219.80 : x
  2. Step 2: Convert to fraction form
    20,349.40/30,524.10 = 20,219.80/x
  3. Step 3: Cross multiply
    20,349.40x = 30,524.10 × 20,219.80
  4. Step 4: Simplify right side
    20,349.40x = 617,191,197.18
  5. Step 5: Solve for x
    x = 617,191,197.18/20,349.40
  6. Step 6: Final answer
    x = 30,329.70

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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.