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Finding the Fourth Proportional to 33,406.14, 50,109.18 and 13,684.74

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Solution

The fourth proportional to 33,406.14, 50,109.18 and 13,684.74 is: 20,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.14 : 50,109.18 = 13,684.74 : x
  2. Step 2: Convert to fraction form
    33,406.14/50,109.18 = 13,684.74/x
  3. Step 3: Cross multiply
    33,406.14x = 50,109.18 × 13,684.74
  4. Step 4: Simplify right side
    33,406.14x = 685,731,099.91
  5. Step 5: Solve for x
    x = 685,731,099.91/33,406.14
  6. Step 6: Final answer
    x = 20,527.10

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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.