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Finding the Fourth Proportional to 33,670.20, 50,408.10 and 29,782.20

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Solution

The fourth proportional to 33,670.20, 50,408.10 and 29,782.20 is: 44,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670.20 : 50,408.10 = 29,782.20 : x
  2. Step 2: Convert to fraction form
    33,670.20/50,408.10 = 29,782.20/x
  3. Step 3: Cross multiply
    33,670.20x = 50,408.10 × 29,782.20
  4. Step 4: Simplify right side
    33,670.20x = 1,501,264,115.82
  5. Step 5: Solve for x
    x = 1,501,264,115.82/33,670.20
  6. Step 6: Final answer
    x = 44,587.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.