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Finding the Fourth Proportional to 30,576.26, 45,859.46 and 8,384.48

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Solution

The fourth proportional to 30,576.26, 45,859.46 and 8,384.48 is: 12,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.26 : 45,859.46 = 8,384.48 : x
  2. Step 2: Convert to fraction form
    30,576.26/45,859.46 = 8,384.48/x
  3. Step 3: Cross multiply
    30,576.26x = 45,859.46 × 8,384.48
  4. Step 4: Simplify right side
    30,576.26x = 384,507,860.79
  5. Step 5: Solve for x
    x = 384,507,860.79/30,576.26
  6. Step 6: Final answer
    x = 12,575.37

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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.