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Finding the Fourth Proportional to 41,894.72, 62,842.09 and 12,312.56

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Solution

The fourth proportional to 41,894.72, 62,842.09 and 12,312.56 is: 18,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894.72 : 62,842.09 = 12,312.56 : x
  2. Step 2: Convert to fraction form
    41,894.72/62,842.09 = 12,312.56/x
  3. Step 3: Cross multiply
    41,894.72x = 62,842.09 × 12,312.56
  4. Step 4: Simplify right side
    41,894.72x = 773,747,003.65
  5. Step 5: Solve for x
    x = 773,747,003.65/41,894.72
  6. Step 6: Final answer
    x = 18,468.84

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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.