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Finding the Fourth Proportional to 50,435, 69,576.94 and 32,535.78

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Solution

The fourth proportional to 50,435, 69,576.94 and 32,535.78 is: 44,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,435 : 69,576.94 = 32,535.78 : x
  2. Step 2: Convert to fraction form
    50,435/69,576.94 = 32,535.78/x
  3. Step 3: Cross multiply
    50,435x = 69,576.94 × 32,535.78
  4. Step 4: Simplify right side
    50,435x = 2,263,740,012.91
  5. Step 5: Solve for x
    x = 2,263,740,012.91/50,435
  6. Step 6: Final answer
    x = 44,884.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.