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Finding the Fourth Proportional to 41,861.94, 57,769.41 and 22,999.08

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Solution

The fourth proportional to 41,861.94, 57,769.41 and 22,999.08 is: 31,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,861.94 : 57,769.41 = 22,999.08 : x
  2. Step 2: Convert to fraction form
    41,861.94/57,769.41 = 22,999.08/x
  3. Step 3: Cross multiply
    41,861.94x = 57,769.41 × 22,999.08
  4. Step 4: Simplify right side
    41,861.94x = 1,328,643,282.14
  5. Step 5: Solve for x
    x = 1,328,643,282.14/41,861.94
  6. Step 6: Final answer
    x = 31,738.69

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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.