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Finding the Fourth Proportional to 33,473.67, 50,206.14 and 19,441.23

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Solution

The fourth proportional to 33,473.67, 50,206.14 and 19,441.23 is: 29,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.67 : 50,206.14 = 19,441.23 : x
  2. Step 2: Convert to fraction form
    33,473.67/50,206.14 = 19,441.23/x
  3. Step 3: Cross multiply
    33,473.67x = 50,206.14 × 19,441.23
  4. Step 4: Simplify right side
    33,473.67x = 976,069,115.15
  5. Step 5: Solve for x
    x = 976,069,115.15/33,473.67
  6. Step 6: Final answer
    x = 29,159.31

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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.