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Finding the Fourth Proportional to 36,889.50, 50,907.78 and 20,122.50

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Solution

The fourth proportional to 36,889.50, 50,907.78 and 20,122.50 is: 27,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,889.50 : 50,907.78 = 20,122.50 : x
  2. Step 2: Convert to fraction form
    36,889.50/50,907.78 = 20,122.50/x
  3. Step 3: Cross multiply
    36,889.50x = 50,907.78 × 20,122.50
  4. Step 4: Simplify right side
    36,889.50x = 1,024,391,803.05
  5. Step 5: Solve for x
    x = 1,024,391,803.05/36,889.50
  6. Step 6: Final answer
    x = 27,769.20

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