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Finding the Fourth Proportional to 33,190.12, 49,783.56 and 12,412

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Solution

The fourth proportional to 33,190.12, 49,783.56 and 12,412 is: 18,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190.12 : 49,783.56 = 12,412 : x
  2. Step 2: Convert to fraction form
    33,190.12/49,783.56 = 12,412/x
  3. Step 3: Cross multiply
    33,190.12x = 49,783.56 × 12,412
  4. Step 4: Simplify right side
    33,190.12x = 617,913,546.72
  5. Step 5: Solve for x
    x = 617,913,546.72/33,190.12
  6. Step 6: Final answer
    x = 18,617.39

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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.