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Finding the Fourth Proportional to 32,021.28, 48,034.23 and 12,299.84

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Solution

The fourth proportional to 32,021.28, 48,034.23 and 12,299.84 is: 18,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.28 : 48,034.23 = 12,299.84 : x
  2. Step 2: Convert to fraction form
    32,021.28/48,034.23 = 12,299.84/x
  3. Step 3: Cross multiply
    32,021.28x = 48,034.23 × 12,299.84
  4. Step 4: Simplify right side
    32,021.28x = 590,813,103.35
  5. Step 5: Solve for x
    x = 590,813,103.35/32,021.28
  6. Step 6: Final answer
    x = 18,450.64

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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.