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Finding the Fourth Proportional to 33,574.32, 50,316.10 and 12,786.48

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Solution

The fourth proportional to 33,574.32, 50,316.10 and 12,786.48 is: 19,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.32 : 50,316.10 = 12,786.48 : x
  2. Step 2: Convert to fraction form
    33,574.32/50,316.10 = 12,786.48/x
  3. Step 3: Cross multiply
    33,574.32x = 50,316.10 × 12,786.48
  4. Step 4: Simplify right side
    33,574.32x = 643,365,806.33
  5. Step 5: Solve for x
    x = 643,365,806.33/33,574.32
  6. Step 6: Final answer
    x = 19,162.44

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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.