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Finding the Fourth Proportional to 36,549.46, 50,438.68 and 21,442.38

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Solution

The fourth proportional to 36,549.46, 50,438.68 and 21,442.38 is: 29,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,549.46 : 50,438.68 = 21,442.38 : x
  2. Step 2: Convert to fraction form
    36,549.46/50,438.68 = 21,442.38/x
  3. Step 3: Cross multiply
    36,549.46x = 50,438.68 × 21,442.38
  4. Step 4: Simplify right side
    36,549.46x = 1,081,525,163.56
  5. Step 5: Solve for x
    x = 1,081,525,163.56/36,549.46
  6. Step 6: Final answer
    x = 29,590.73

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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.