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Finding the Fourth Proportional to 103,523.40, 155,306.70 and 33,409.80

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Solution

The fourth proportional to 103,523.40, 155,306.70 and 33,409.80 is: 50,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,523.40 : 155,306.70 = 33,409.80 : x
  2. Step 2: Convert to fraction form
    103,523.40/155,306.70 = 33,409.80/x
  3. Step 3: Cross multiply
    103,523.40x = 155,306.70 × 33,409.80
  4. Step 4: Simplify right side
    103,523.40x = 5,188,765,785.66
  5. Step 5: Solve for x
    x = 5,188,765,785.66/103,523.40
  6. Step 6: Final answer
    x = 50,121.67

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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.