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Finding the Fourth Proportional to 41,767, 62,650.48 and 12,187.21

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Solution

The fourth proportional to 41,767, 62,650.48 and 12,187.21 is: 18,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,767 : 62,650.48 = 12,187.21 : x
  2. Step 2: Convert to fraction form
    41,767/62,650.48 = 12,187.21/x
  3. Step 3: Cross multiply
    41,767x = 62,650.48 × 12,187.21
  4. Step 4: Simplify right side
    41,767x = 763,534,556.36
  5. Step 5: Solve for x
    x = 763,534,556.36/41,767
  6. Step 6: Final answer
    x = 18,280.81

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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.