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Finding the Fourth Proportional to 49,497.50, 74,245.12 and 12,057.77

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Solution

The fourth proportional to 49,497.50, 74,245.12 and 12,057.77 is: 18,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497.50 : 74,245.12 = 12,057.77 : x
  2. Step 2: Convert to fraction form
    49,497.50/74,245.12 = 12,057.77/x
  3. Step 3: Cross multiply
    49,497.50x = 74,245.12 × 12,057.77
  4. Step 4: Simplify right side
    49,497.50x = 895,230,179.21
  5. Step 5: Solve for x
    x = 895,230,179.21/49,497.50
  6. Step 6: Final answer
    x = 18,086.37

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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.