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Finding the Fourth Proportional to 33,502.20, 50,253.98 and 13,778.19

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Solution

The fourth proportional to 33,502.20, 50,253.98 and 13,778.19 is: 20,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502.20 : 50,253.98 = 13,778.19 : x
  2. Step 2: Convert to fraction form
    33,502.20/50,253.98 = 13,778.19/x
  3. Step 3: Cross multiply
    33,502.20x = 50,253.98 × 13,778.19
  4. Step 4: Simplify right side
    33,502.20x = 692,408,815.81
  5. Step 5: Solve for x
    x = 692,408,815.81/33,502.20
  6. Step 6: Final answer
    x = 20,667.57

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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.