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Finding the Fourth Proportional to 32,020.58, 48,033.18 and 12,299.15

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Solution

The fourth proportional to 32,020.58, 48,033.18 and 12,299.15 is: 18,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.58 : 48,033.18 = 12,299.15 : x
  2. Step 2: Convert to fraction form
    32,020.58/48,033.18 = 12,299.15/x
  3. Step 3: Cross multiply
    32,020.58x = 48,033.18 × 12,299.15
  4. Step 4: Simplify right side
    32,020.58x = 590,767,405.88
  5. Step 5: Solve for x
    x = 590,767,405.88/32,020.58
  6. Step 6: Final answer
    x = 18,449.61

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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.