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Finding the Fourth Proportional to 33,811.87, 50,684.85 and 14,096.07

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Solution

The fourth proportional to 33,811.87, 50,684.85 and 14,096.07 is: 21,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.87 : 50,684.85 = 14,096.07 : x
  2. Step 2: Convert to fraction form
    33,811.87/50,684.85 = 14,096.07/x
  3. Step 3: Cross multiply
    33,811.87x = 50,684.85 × 14,096.07
  4. Step 4: Simplify right side
    33,811.87x = 714,457,050.99
  5. Step 5: Solve for x
    x = 714,457,050.99/33,811.87
  6. Step 6: Final answer
    x = 21,130.36

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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.