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Finding the Fourth Proportional to 36,595.44, 50,502 and 19,828.44

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Solution

The fourth proportional to 36,595.44, 50,502 and 19,828.44 is: 27,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,595.44 : 50,502 = 19,828.44 : x
  2. Step 2: Convert to fraction form
    36,595.44/50,502 = 19,828.44/x
  3. Step 3: Cross multiply
    36,595.44x = 50,502 × 19,828.44
  4. Step 4: Simplify right side
    36,595.44x = 1,001,375,876.88
  5. Step 5: Solve for x
    x = 1,001,375,876.88/36,595.44
  6. Step 6: Final answer
    x = 27,363.41

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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.