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Finding the Fourth Proportional to 33,162.62, 49,742.31 and 12,384.50

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Solution

The fourth proportional to 33,162.62, 49,742.31 and 12,384.50 is: 18,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.62 : 49,742.31 = 12,384.50 : x
  2. Step 2: Convert to fraction form
    33,162.62/49,742.31 = 12,384.50/x
  3. Step 3: Cross multiply
    33,162.62x = 49,742.31 × 12,384.50
  4. Step 4: Simplify right side
    33,162.62x = 616,033,638.20
  5. Step 5: Solve for x
    x = 616,033,638.20/33,162.62
  6. Step 6: Final answer
    x = 18,576.15

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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.