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Finding the Fourth Proportional to 86,563.10, 129,766.26 and 33,958.46

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Solution

The fourth proportional to 86,563.10, 129,766.26 and 33,958.46 is: 50,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,563.10 : 129,766.26 = 33,958.46 : x
  2. Step 2: Convert to fraction form
    86,563.10/129,766.26 = 33,958.46/x
  3. Step 3: Cross multiply
    86,563.10x = 129,766.26 × 33,958.46
  4. Step 4: Simplify right side
    86,563.10x = 4,406,661,700.73
  5. Step 5: Solve for x
    x = 4,406,661,700.73/86,563.10
  6. Step 6: Final answer
    x = 50,906.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.