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Finding the Fourth Proportional to 33,574.28, 50,362 and 11,388.23

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Solution

The fourth proportional to 33,574.28, 50,362 and 11,388.23 is: 17,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.28 : 50,362 = 11,388.23 : x
  2. Step 2: Convert to fraction form
    33,574.28/50,362 = 11,388.23/x
  3. Step 3: Cross multiply
    33,574.28x = 50,362 × 11,388.23
  4. Step 4: Simplify right side
    33,574.28x = 573,534,039.26
  5. Step 5: Solve for x
    x = 573,534,039.26/33,574.28
  6. Step 6: Final answer
    x = 17,082.54

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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.