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Finding the Fourth Proportional to 33,313.72, 45,974.10 and 21,993.16

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Solution

The fourth proportional to 33,313.72, 45,974.10 and 21,993.16 is: 30,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,313.72 : 45,974.10 = 21,993.16 : x
  2. Step 2: Convert to fraction form
    33,313.72/45,974.10 = 21,993.16/x
  3. Step 3: Cross multiply
    33,313.72x = 45,974.10 × 21,993.16
  4. Step 4: Simplify right side
    33,313.72x = 1,011,115,737.16
  5. Step 5: Solve for x
    x = 1,011,115,737.16/33,313.72
  6. Step 6: Final answer
    x = 30,351.33

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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.