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Finding the Fourth Proportional to 33,406.14, 50,113.82 and 11,225.86

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Solution

The fourth proportional to 33,406.14, 50,113.82 and 11,225.86 is: 16,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.14 : 50,113.82 = 11,225.86 : x
  2. Step 2: Convert to fraction form
    33,406.14/50,113.82 = 11,225.86/x
  3. Step 3: Cross multiply
    33,406.14x = 50,113.82 × 11,225.86
  4. Step 4: Simplify right side
    33,406.14x = 562,570,727.39
  5. Step 5: Solve for x
    x = 562,570,727.39/33,406.14
  6. Step 6: Final answer
    x = 16,840.34

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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.