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Finding the Fourth Proportional to 33,890.64, 50,829.72 and 14,163.90

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Solution

The fourth proportional to 33,890.64, 50,829.72 and 14,163.90 is: 21,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,890.64 : 50,829.72 = 14,163.90 : x
  2. Step 2: Convert to fraction form
    33,890.64/50,829.72 = 14,163.90/x
  3. Step 3: Cross multiply
    33,890.64x = 50,829.72 × 14,163.90
  4. Step 4: Simplify right side
    33,890.64x = 719,947,071.11
  5. Step 5: Solve for x
    x = 719,947,071.11/33,890.64
  6. Step 6: Final answer
    x = 21,243.24

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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.