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Finding the Fourth Proportional to 33,633.75, 50,443.74 and 12,569.90

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Solution

The fourth proportional to 33,633.75, 50,443.74 and 12,569.90 is: 18,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.75 : 50,443.74 = 12,569.90 : x
  2. Step 2: Convert to fraction form
    33,633.75/50,443.74 = 12,569.90/x
  3. Step 3: Cross multiply
    33,633.75x = 50,443.74 × 12,569.90
  4. Step 4: Simplify right side
    33,633.75x = 634,072,893.54
  5. Step 5: Solve for x
    x = 634,072,893.54/33,633.75
  6. Step 6: Final answer
    x = 18,852.28

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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.