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Finding the Fourth Proportional to 33,470.63, 50,206.11 and 11,284.20

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Solution

The fourth proportional to 33,470.63, 50,206.11 and 11,284.20 is: 16,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,470.63 : 50,206.11 = 11,284.20 : x
  2. Step 2: Convert to fraction form
    33,470.63/50,206.11 = 11,284.20/x
  3. Step 3: Cross multiply
    33,470.63x = 50,206.11 × 11,284.20
  4. Step 4: Simplify right side
    33,470.63x = 566,535,786.46
  5. Step 5: Solve for x
    x = 566,535,786.46/33,470.63
  6. Step 6: Final answer
    x = 16,926.36

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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.