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Finding the Fourth Proportional to 33,065, 45,629.70 and 18,161.96

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Solution

The fourth proportional to 33,065, 45,629.70 and 18,161.96 is: 25,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065 : 45,629.70 = 18,161.96 : x
  2. Step 2: Convert to fraction form
    33,065/45,629.70 = 18,161.96/x
  3. Step 3: Cross multiply
    33,065x = 45,629.70 × 18,161.96
  4. Step 4: Simplify right side
    33,065x = 828,724,786.21
  5. Step 5: Solve for x
    x = 828,724,786.21/33,065
  6. Step 6: Final answer
    x = 25,063.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.