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Finding the Fourth Proportional to 33,163.90, 49,701.96 and 13,419.06

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Solution

The fourth proportional to 33,163.90, 49,701.96 and 13,419.06 is: 20,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.90 : 49,701.96 = 13,419.06 : x
  2. Step 2: Convert to fraction form
    33,163.90/49,701.96 = 13,419.06/x
  3. Step 3: Cross multiply
    33,163.90x = 49,701.96 × 13,419.06
  4. Step 4: Simplify right side
    33,163.90x = 666,953,583.36
  5. Step 5: Solve for x
    x = 666,953,583.36/33,163.90
  6. Step 6: Final answer
    x = 20,110.83

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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.