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Finding the Fourth Proportional to 33,854.61, 50,781.86 and 10,162.13

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Solution

The fourth proportional to 33,854.61, 50,781.86 and 10,162.13 is: 15,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854.61 : 50,781.86 = 10,162.13 : x
  2. Step 2: Convert to fraction form
    33,854.61/50,781.86 = 10,162.13/x
  3. Step 3: Cross multiply
    33,854.61x = 50,781.86 × 10,162.13
  4. Step 4: Simplify right side
    33,854.61x = 516,052,015.32
  5. Step 5: Solve for x
    x = 516,052,015.32/33,854.61
  6. Step 6: Final answer
    x = 15,243.18

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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.