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Finding the Fourth Proportional to 29,467.50, 40,665.15 and 16,219.50

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Solution

The fourth proportional to 29,467.50, 40,665.15 and 16,219.50 is: 22,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.50 : 40,665.15 = 16,219.50 : x
  2. Step 2: Convert to fraction form
    29,467.50/40,665.15 = 16,219.50/x
  3. Step 3: Cross multiply
    29,467.50x = 40,665.15 × 16,219.50
  4. Step 4: Simplify right side
    29,467.50x = 659,568,400.43
  5. Step 5: Solve for x
    x = 659,568,400.43/29,467.50
  6. Step 6: Final answer
    x = 22,382.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.