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Finding the Fourth Proportional to 36,505.16, 50,377.14 and 19,738.16

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Solution

The fourth proportional to 36,505.16, 50,377.14 and 19,738.16 is: 27,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,505.16 : 50,377.14 = 19,738.16 : x
  2. Step 2: Convert to fraction form
    36,505.16/50,377.14 = 19,738.16/x
  3. Step 3: Cross multiply
    36,505.16x = 50,377.14 × 19,738.16
  4. Step 4: Simplify right side
    36,505.16x = 994,352,049.66
  5. Step 5: Solve for x
    x = 994,352,049.66/36,505.16
  6. Step 6: Final answer
    x = 27,238.67

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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.