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Finding the Fourth Proportional to 33,537.80, 50,339.10 and 20,415.80

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Solution

The fourth proportional to 33,537.80, 50,339.10 and 20,415.80 is: 30,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.80 : 50,339.10 = 20,415.80 : x
  2. Step 2: Convert to fraction form
    33,537.80/50,339.10 = 20,415.80/x
  3. Step 3: Cross multiply
    33,537.80x = 50,339.10 × 20,415.80
  4. Step 4: Simplify right side
    33,537.80x = 1,027,712,997.78
  5. Step 5: Solve for x
    x = 1,027,712,997.78/33,537.80
  6. Step 6: Final answer
    x = 30,643.42

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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.