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Finding the Fourth Proportional to 57,769.83, 79,722.92 and 33,896.91

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Solution

The fourth proportional to 57,769.83, 79,722.92 and 33,896.91 is: 46,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.83 : 79,722.92 = 33,896.91 : x
  2. Step 2: Convert to fraction form
    57,769.83/79,722.92 = 33,896.91/x
  3. Step 3: Cross multiply
    57,769.83x = 79,722.92 × 33,896.91
  4. Step 4: Simplify right side
    57,769.83x = 2,702,360,474.69
  5. Step 5: Solve for x
    x = 2,702,360,474.69/57,769.83
  6. Step 6: Final answer
    x = 46,778.06

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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.