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Finding the Fourth Proportional to 41,842.68, 57,769.94 and 25,944

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Solution

The fourth proportional to 41,842.68, 57,769.94 and 25,944 is: 35,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842.68 : 57,769.94 = 25,944 : x
  2. Step 2: Convert to fraction form
    41,842.68/57,769.94 = 25,944/x
  3. Step 3: Cross multiply
    41,842.68x = 57,769.94 × 25,944
  4. Step 4: Simplify right side
    41,842.68x = 1,498,783,323.36
  5. Step 5: Solve for x
    x = 1,498,783,323.36/41,842.68
  6. Step 6: Final answer
    x = 35,819.49

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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.