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Finding the Fourth Proportional to 32,685.44, 49,046.79 and 27,205.16

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Solution

The fourth proportional to 32,685.44, 49,046.79 and 27,205.16 is: 40,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685.44 : 49,046.79 = 27,205.16 : x
  2. Step 2: Convert to fraction form
    32,685.44/49,046.79 = 27,205.16/x
  3. Step 3: Cross multiply
    32,685.44x = 49,046.79 × 27,205.16
  4. Step 4: Simplify right side
    32,685.44x = 1,334,325,769.44
  5. Step 5: Solve for x
    x = 1,334,325,769.44/32,685.44
  6. Step 6: Final answer
    x = 40,823.25

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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.