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Finding the Fourth Proportional to 33,838.56, 50,683.93 and 14,057.15

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Solution

The fourth proportional to 33,838.56, 50,683.93 and 14,057.15 is: 21,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.56 : 50,683.93 = 14,057.15 : x
  2. Step 2: Convert to fraction form
    33,838.56/50,683.93 = 14,057.15/x
  3. Step 3: Cross multiply
    33,838.56x = 50,683.93 × 14,057.15
  4. Step 4: Simplify right side
    33,838.56x = 712,471,318.04
  5. Step 5: Solve for x
    x = 712,471,318.04/33,838.56
  6. Step 6: Final answer
    x = 21,055.01

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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.