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Finding the Fourth Proportional to 33,549.14, 50,315.06 and 10,169.30

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Solution

The fourth proportional to 33,549.14, 50,315.06 and 10,169.30 is: 15,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,549.14 : 50,315.06 = 10,169.30 : x
  2. Step 2: Convert to fraction form
    33,549.14/50,315.06 = 10,169.30/x
  3. Step 3: Cross multiply
    33,549.14x = 50,315.06 × 10,169.30
  4. Step 4: Simplify right side
    33,549.14x = 511,668,939.66
  5. Step 5: Solve for x
    x = 511,668,939.66/33,549.14
  6. Step 6: Final answer
    x = 15,251.33

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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.