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Finding the Fourth Proportional to 36,803, 50,788.34 and 20,036

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Solution

The fourth proportional to 36,803, 50,788.34 and 20,036 is: 27,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,803 : 50,788.34 = 20,036 : x
  2. Step 2: Convert to fraction form
    36,803/50,788.34 = 20,036/x
  3. Step 3: Cross multiply
    36,803x = 50,788.34 × 20,036
  4. Step 4: Simplify right side
    36,803x = 1,017,595,180.24
  5. Step 5: Solve for x
    x = 1,017,595,180.24/36,803
  6. Step 6: Final answer
    x = 27,649.79

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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.