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Finding the Fourth Proportional to 135,829.74, 203,694.21 and 47,059.50

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Solution

The fourth proportional to 135,829.74, 203,694.21 and 47,059.50 is: 70,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,829.74 : 203,694.21 = 47,059.50 : x
  2. Step 2: Convert to fraction form
    135,829.74/203,694.21 = 47,059.50/x
  3. Step 3: Cross multiply
    135,829.74x = 203,694.21 × 47,059.50
  4. Step 4: Simplify right side
    135,829.74x = 9,585,747,675.50
  5. Step 5: Solve for x
    x = 9,585,747,675.50/135,829.74
  6. Step 6: Final answer
    x = 70,571.79

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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.