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Finding the Fourth Proportional to 30,548.14, 45,822.24 and 8,361.70

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Solution

The fourth proportional to 30,548.14, 45,822.24 and 8,361.70 is: 12,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.14 : 45,822.24 = 8,361.70 : x
  2. Step 2: Convert to fraction form
    30,548.14/45,822.24 = 8,361.70/x
  3. Step 3: Cross multiply
    30,548.14x = 45,822.24 × 8,361.70
  4. Step 4: Simplify right side
    30,548.14x = 383,151,709.65
  5. Step 5: Solve for x
    x = 383,151,709.65/30,548.14
  6. Step 6: Final answer
    x = 12,542.56

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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.