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Finding the Fourth Proportional to 36,533.38, 50,416.06 and 19,766.38

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Solution

The fourth proportional to 36,533.38, 50,416.06 and 19,766.38 is: 27,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533.38 : 50,416.06 = 19,766.38 : x
  2. Step 2: Convert to fraction form
    36,533.38/50,416.06 = 19,766.38/x
  3. Step 3: Cross multiply
    36,533.38x = 50,416.06 × 19,766.38
  4. Step 4: Simplify right side
    36,533.38x = 996,542,747.98
  5. Step 5: Solve for x
    x = 996,542,747.98/36,533.38
  6. Step 6: Final answer
    x = 27,277.60

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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.