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Finding the Fourth Proportional to 33,164.65, 49,742.02 and 12,099.75

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Solution

The fourth proportional to 33,164.65, 49,742.02 and 12,099.75 is: 18,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.65 : 49,742.02 = 12,099.75 : x
  2. Step 2: Convert to fraction form
    33,164.65/49,742.02 = 12,099.75/x
  3. Step 3: Cross multiply
    33,164.65x = 49,742.02 × 12,099.75
  4. Step 4: Simplify right side
    33,164.65x = 601,866,006.50
  5. Step 5: Solve for x
    x = 601,866,006.50/33,164.65
  6. Step 6: Final answer
    x = 18,147.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.