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Finding the Fourth Proportional to 69,412.54, 95,789.34 and 37,581.42

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Solution

The fourth proportional to 69,412.54, 95,789.34 and 37,581.42 is: 51,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,412.54 : 95,789.34 = 37,581.42 : x
  2. Step 2: Convert to fraction form
    69,412.54/95,789.34 = 37,581.42/x
  3. Step 3: Cross multiply
    69,412.54x = 95,789.34 × 37,581.42
  4. Step 4: Simplify right side
    69,412.54x = 3,599,899,418.06
  5. Step 5: Solve for x
    x = 3,599,899,418.06/69,412.54
  6. Step 6: Final answer
    x = 51,862.38

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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.