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Finding the Fourth Proportional to 129,806.46, 194,708.12 and 33,735.16

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Solution

The fourth proportional to 129,806.46, 194,708.12 and 33,735.16 is: 50,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,806.46 : 194,708.12 = 33,735.16 : x
  2. Step 2: Convert to fraction form
    129,806.46/194,708.12 = 33,735.16/x
  3. Step 3: Cross multiply
    129,806.46x = 194,708.12 × 33,735.16
  4. Step 4: Simplify right side
    129,806.46x = 6,568,509,845.97
  5. Step 5: Solve for x
    x = 6,568,509,845.97/129,806.46
  6. Step 6: Final answer
    x = 50,602.33

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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.