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Finding the Fourth Proportional to 20,297.46, 30,446.10 and 5,506.34

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Solution

The fourth proportional to 20,297.46, 30,446.10 and 5,506.34 is: 8,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.46 : 30,446.10 = 5,506.34 : x
  2. Step 2: Convert to fraction form
    20,297.46/30,446.10 = 5,506.34/x
  3. Step 3: Cross multiply
    20,297.46x = 30,446.10 × 5,506.34
  4. Step 4: Simplify right side
    20,297.46x = 167,646,578.27
  5. Step 5: Solve for x
    x = 167,646,578.27/20,297.46
  6. Step 6: Final answer
    x = 8,259.49

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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.