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Finding the Fourth Proportional to 36,500.95, 50,369.41 and 20,584.38

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Solution

The fourth proportional to 36,500.95, 50,369.41 and 20,584.38 is: 28,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,500.95 : 50,369.41 = 20,584.38 : x
  2. Step 2: Convert to fraction form
    36,500.95/50,369.41 = 20,584.38/x
  3. Step 3: Cross multiply
    36,500.95x = 50,369.41 × 20,584.38
  4. Step 4: Simplify right side
    36,500.95x = 1,036,823,075.82
  5. Step 5: Solve for x
    x = 1,036,823,075.82/36,500.95
  6. Step 6: Final answer
    x = 28,405.37

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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.