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Finding the Fourth Proportional to 33,406.34, 50,114.11 and 11,226.06

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Solution

The fourth proportional to 33,406.34, 50,114.11 and 11,226.06 is: 16,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.34 : 50,114.11 = 11,226.06 : x
  2. Step 2: Convert to fraction form
    33,406.34/50,114.11 = 11,226.06/x
  3. Step 3: Cross multiply
    33,406.34x = 50,114.11 × 11,226.06
  4. Step 4: Simplify right side
    33,406.34x = 562,584,005.71
  5. Step 5: Solve for x
    x = 562,584,005.71/33,406.34
  6. Step 6: Final answer
    x = 16,840.64

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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.