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Finding the Fourth Proportional to 32,735.96, 49,105.62 and 9,365.84

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Solution

The fourth proportional to 32,735.96, 49,105.62 and 9,365.84 is: 14,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.96 : 49,105.62 = 9,365.84 : x
  2. Step 2: Convert to fraction form
    32,735.96/49,105.62 = 9,365.84/x
  3. Step 3: Cross multiply
    32,735.96x = 49,105.62 × 9,365.84
  4. Step 4: Simplify right side
    32,735.96x = 459,915,380.02
  5. Step 5: Solve for x
    x = 459,915,380.02/32,735.96
  6. Step 6: Final answer
    x = 14,049.24

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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.