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Finding the Fourth Proportional to 41,180.43, 61,786.02 and 16,237.86

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Solution

The fourth proportional to 41,180.43, 61,786.02 and 16,237.86 is: 24,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180.43 : 61,786.02 = 16,237.86 : x
  2. Step 2: Convert to fraction form
    41,180.43/61,786.02 = 16,237.86/x
  3. Step 3: Cross multiply
    41,180.43x = 61,786.02 × 16,237.86
  4. Step 4: Simplify right side
    41,180.43x = 1,003,272,869.34
  5. Step 5: Solve for x
    x = 1,003,272,869.34/41,180.43
  6. Step 6: Final answer
    x = 24,362.86

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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.