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Finding the Fourth Proportional to 33,842.36, 50,753.67 and 10,148.96

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Solution

The fourth proportional to 33,842.36, 50,753.67 and 10,148.96 is: 15,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.36 : 50,753.67 = 10,148.96 : x
  2. Step 2: Convert to fraction form
    33,842.36/50,753.67 = 10,148.96/x
  3. Step 3: Cross multiply
    33,842.36x = 50,753.67 × 10,148.96
  4. Step 4: Simplify right side
    33,842.36x = 515,096,966.68
  5. Step 5: Solve for x
    x = 515,096,966.68/33,842.36
  6. Step 6: Final answer
    x = 15,220.48

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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.