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Finding the Fourth Proportional to 32,829.30, 49,229.37 and 9,450.27

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Solution

The fourth proportional to 32,829.30, 49,229.37 and 9,450.27 is: 14,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.30 : 49,229.37 = 9,450.27 : x
  2. Step 2: Convert to fraction form
    32,829.30/49,229.37 = 9,450.27/x
  3. Step 3: Cross multiply
    32,829.30x = 49,229.37 × 9,450.27
  4. Step 4: Simplify right side
    32,829.30x = 465,230,838.43
  5. Step 5: Solve for x
    x = 465,230,838.43/32,829.30
  6. Step 6: Final answer
    x = 14,171.21

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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.