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Finding the Fourth Proportional to 36,347.82, 50,157.42 and 20,434.67

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Solution

The fourth proportional to 36,347.82, 50,157.42 and 20,434.67 is: 28,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,347.82 : 50,157.42 = 20,434.67 : x
  2. Step 2: Convert to fraction form
    36,347.82/50,157.42 = 20,434.67/x
  3. Step 3: Cross multiply
    36,347.82x = 50,157.42 × 20,434.67
  4. Step 4: Simplify right side
    36,347.82x = 1,024,950,074.96
  5. Step 5: Solve for x
    x = 1,024,950,074.96/36,347.82
  6. Step 6: Final answer
    x = 28,198.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.