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Finding the Fourth Proportional to 33,765.50, 50,519.74 and 20,389.26

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Solution

The fourth proportional to 33,765.50, 50,519.74 and 20,389.26 is: 30,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,765.50 : 50,519.74 = 20,389.26 : x
  2. Step 2: Convert to fraction form
    33,765.50/50,519.74 = 20,389.26/x
  3. Step 3: Cross multiply
    33,765.50x = 50,519.74 × 20,389.26
  4. Step 4: Simplify right side
    33,765.50x = 1,030,060,113.99
  5. Step 5: Solve for x
    x = 1,030,060,113.99/33,765.50
  6. Step 6: Final answer
    x = 30,506.29

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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.