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Finding the Fourth Proportional to 59,894.20, 82,647.43 and 33,035

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Solution

The fourth proportional to 59,894.20, 82,647.43 and 33,035 is: 45,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,894.20 : 82,647.43 = 33,035 : x
  2. Step 2: Convert to fraction form
    59,894.20/82,647.43 = 33,035/x
  3. Step 3: Cross multiply
    59,894.20x = 82,647.43 × 33,035
  4. Step 4: Simplify right side
    59,894.20x = 2,730,257,850.05
  5. Step 5: Solve for x
    x = 2,730,257,850.05/59,894.20
  6. Step 6: Final answer
    x = 45,584.68

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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.