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Finding the Fourth Proportional to 70,517.50, 105,771.29 and 33,085.78

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Solution

The fourth proportional to 70,517.50, 105,771.29 and 33,085.78 is: 49,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,517.50 : 105,771.29 = 33,085.78 : x
  2. Step 2: Convert to fraction form
    70,517.50/105,771.29 = 33,085.78/x
  3. Step 3: Cross multiply
    70,517.50x = 105,771.29 × 33,085.78
  4. Step 4: Simplify right side
    70,517.50x = 3,499,525,201.40
  5. Step 5: Solve for x
    x = 3,499,525,201.40/70,517.50
  6. Step 6: Final answer
    x = 49,626.34

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