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Finding the Fourth Proportional to 33,010.34, 49,493.60 and 11,947.62

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Solution

The fourth proportional to 33,010.34, 49,493.60 and 11,947.62 is: 17,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010.34 : 49,493.60 = 11,947.62 : x
  2. Step 2: Convert to fraction form
    33,010.34/49,493.60 = 11,947.62/x
  3. Step 3: Cross multiply
    33,010.34x = 49,493.60 × 11,947.62
  4. Step 4: Simplify right side
    33,010.34x = 591,330,617.50
  5. Step 5: Solve for x
    x = 591,330,617.50/33,010.34
  6. Step 6: Final answer
    x = 17,913.50

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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.