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Finding the Fourth Proportional to 100,569, 150,872.91 and 38,234.64

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Solution

The fourth proportional to 100,569, 150,872.91 and 38,234.64 is: 57,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569 : 150,872.91 = 38,234.64 : x
  2. Step 2: Convert to fraction form
    100,569/150,872.91 = 38,234.64/x
  3. Step 3: Cross multiply
    100,569x = 150,872.91 × 38,234.64
  4. Step 4: Simplify right side
    100,569x = 5,768,571,399.60
  5. Step 5: Solve for x
    x = 5,768,571,399.60/100,569
  6. Step 6: Final answer
    x = 57,359.34

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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.