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Finding the Fourth Proportional to 41,380.50, 62,080.48 and 13,678.50

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Solution

The fourth proportional to 41,380.50, 62,080.48 and 13,678.50 is: 20,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,380.50 : 62,080.48 = 13,678.50 : x
  2. Step 2: Convert to fraction form
    41,380.50/62,080.48 = 13,678.50/x
  3. Step 3: Cross multiply
    41,380.50x = 62,080.48 × 13,678.50
  4. Step 4: Simplify right side
    41,380.50x = 849,167,845.68
  5. Step 5: Solve for x
    x = 849,167,845.68/41,380.50
  6. Step 6: Final answer
    x = 20,520.97

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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.