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Finding the Fourth Proportional to 36,193.84, 49,947.50 and 20,278.42

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Solution

The fourth proportional to 36,193.84, 49,947.50 and 20,278.42 is: 27,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,193.84 : 49,947.50 = 20,278.42 : x
  2. Step 2: Convert to fraction form
    36,193.84/49,947.50 = 20,278.42/x
  3. Step 3: Cross multiply
    36,193.84x = 49,947.50 × 20,278.42
  4. Step 4: Simplify right side
    36,193.84x = 1,012,856,308.78
  5. Step 5: Solve for x
    x = 1,012,856,308.78/36,193.84
  6. Step 6: Final answer
    x = 27,984.22

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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.