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Finding the Fourth Proportional to 32,823.53, 49,251.36 and 20,340.22

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Solution

The fourth proportional to 32,823.53, 49,251.36 and 20,340.22 is: 30,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.53 : 49,251.36 = 20,340.22 : x
  2. Step 2: Convert to fraction form
    32,823.53/49,251.36 = 20,340.22/x
  3. Step 3: Cross multiply
    32,823.53x = 49,251.36 × 20,340.22
  4. Step 4: Simplify right side
    32,823.53x = 1,001,783,497.70
  5. Step 5: Solve for x
    x = 1,001,783,497.70/32,823.53
  6. Step 6: Final answer
    x = 30,520.29

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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.