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Finding the Fourth Proportional to 59,419, 81,998.22 and 35,546.68

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Solution

The fourth proportional to 59,419, 81,998.22 and 35,546.68 is: 49,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,419 : 81,998.22 = 35,546.68 : x
  2. Step 2: Convert to fraction form
    59,419/81,998.22 = 35,546.68/x
  3. Step 3: Cross multiply
    59,419x = 81,998.22 × 35,546.68
  4. Step 4: Simplify right side
    59,419x = 2,914,764,486.91
  5. Step 5: Solve for x
    x = 2,914,764,486.91/59,419
  6. Step 6: Final answer
    x = 49,054.42

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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.