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Finding the Fourth Proportional to 49,467.69, 74,200.50 and 12,027.96

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Solution

The fourth proportional to 49,467.69, 74,200.50 and 12,027.96 is: 18,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,467.69 : 74,200.50 = 12,027.96 : x
  2. Step 2: Convert to fraction form
    49,467.69/74,200.50 = 12,027.96/x
  3. Step 3: Cross multiply
    49,467.69x = 74,200.50 × 12,027.96
  4. Step 4: Simplify right side
    49,467.69x = 892,480,645.98
  5. Step 5: Solve for x
    x = 892,480,645.98/49,467.69
  6. Step 6: Final answer
    x = 18,041.69

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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.