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Finding the Fourth Proportional to 36,889.32, 50,907.42 and 20,122.68

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Solution

The fourth proportional to 36,889.32, 50,907.42 and 20,122.68 is: 27,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,889.32 : 50,907.42 = 20,122.68 : x
  2. Step 2: Convert to fraction form
    36,889.32/50,907.42 = 20,122.68/x
  3. Step 3: Cross multiply
    36,889.32x = 50,907.42 × 20,122.68
  4. Step 4: Simplify right side
    36,889.32x = 1,024,393,722.29
  5. Step 5: Solve for x
    x = 1,024,393,722.29/36,889.32
  6. Step 6: Final answer
    x = 27,769.38

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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.