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Finding the Fourth Proportional to 33,652.98, 50,423.67 and 20,465.46

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Solution

The fourth proportional to 33,652.98, 50,423.67 and 20,465.46 is: 30,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.98 : 50,423.67 = 20,465.46 : x
  2. Step 2: Convert to fraction form
    33,652.98/50,423.67 = 20,465.46/x
  3. Step 3: Cross multiply
    33,652.98x = 50,423.67 × 20,465.46
  4. Step 4: Simplify right side
    33,652.98x = 1,031,943,601.44
  5. Step 5: Solve for x
    x = 1,031,943,601.44/33,652.98
  6. Step 6: Final answer
    x = 30,664.26

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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.