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Finding the Fourth Proportional to 59,564.96, 82,189.90 and 34,067.22

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Solution

The fourth proportional to 59,564.96, 82,189.90 and 34,067.22 is: 47,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,564.96 : 82,189.90 = 34,067.22 : x
  2. Step 2: Convert to fraction form
    59,564.96/82,189.90 = 34,067.22/x
  3. Step 3: Cross multiply
    59,564.96x = 82,189.90 × 34,067.22
  4. Step 4: Simplify right side
    59,564.96x = 2,799,981,447.66
  5. Step 5: Solve for x
    x = 2,799,981,447.66/59,564.96
  6. Step 6: Final answer
    x = 47,007.19

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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.