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Finding the Fourth Proportional to 36,314.98, 50,111.94 and 20,396.32

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Solution

The fourth proportional to 36,314.98, 50,111.94 and 20,396.32 is: 28,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314.98 : 50,111.94 = 20,396.32 : x
  2. Step 2: Convert to fraction form
    36,314.98/50,111.94 = 20,396.32/x
  3. Step 3: Cross multiply
    36,314.98x = 50,111.94 × 20,396.32
  4. Step 4: Simplify right side
    36,314.98x = 1,022,099,164.06
  5. Step 5: Solve for x
    x = 1,022,099,164.06/36,314.98
  6. Step 6: Final answer
    x = 28,145.39

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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.