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Finding the Fourth Proportional to 33,183, 45,794.70 and 22,007.16

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Solution

The fourth proportional to 33,183, 45,794.70 and 22,007.16 is: 30,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183 : 45,794.70 = 22,007.16 : x
  2. Step 2: Convert to fraction form
    33,183/45,794.70 = 22,007.16/x
  3. Step 3: Cross multiply
    33,183x = 45,794.70 × 22,007.16
  4. Step 4: Simplify right side
    33,183x = 1,007,811,290.05
  5. Step 5: Solve for x
    x = 1,007,811,290.05/33,183
  6. Step 6: Final answer
    x = 30,371.31

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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.