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Finding the Fourth Proportional to 36,505.50, 50,377.59 and 19,738.50

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Solution

The fourth proportional to 36,505.50, 50,377.59 and 19,738.50 is: 27,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,505.50 : 50,377.59 = 19,738.50 : x
  2. Step 2: Convert to fraction form
    36,505.50/50,377.59 = 19,738.50/x
  3. Step 3: Cross multiply
    36,505.50x = 50,377.59 × 19,738.50
  4. Step 4: Simplify right side
    36,505.50x = 994,378,060.22
  5. Step 5: Solve for x
    x = 994,378,060.22/36,505.50
  6. Step 6: Final answer
    x = 27,239.13

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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.