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Finding the Fourth Proportional to 33,842.87, 50,769.23 and 10,471.13

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Solution

The fourth proportional to 33,842.87, 50,769.23 and 10,471.13 is: 15,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.87 : 50,769.23 = 10,471.13 : x
  2. Step 2: Convert to fraction form
    33,842.87/50,769.23 = 10,471.13/x
  3. Step 3: Cross multiply
    33,842.87x = 50,769.23 × 10,471.13
  4. Step 4: Simplify right side
    33,842.87x = 531,610,901.13
  5. Step 5: Solve for x
    x = 531,610,901.13/33,842.87
  6. Step 6: Final answer
    x = 15,708.21

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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.