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Finding the Fourth Proportional to 39,321.64, 54,318.90 and 27,379

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Solution

The fourth proportional to 39,321.64, 54,318.90 and 27,379 is: 37,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,321.64 : 54,318.90 = 27,379 : x
  2. Step 2: Convert to fraction form
    39,321.64/54,318.90 = 27,379/x
  3. Step 3: Cross multiply
    39,321.64x = 54,318.90 × 27,379
  4. Step 4: Simplify right side
    39,321.64x = 1,487,197,163.10
  5. Step 5: Solve for x
    x = 1,487,197,163.10/39,321.64
  6. Step 6: Final answer
    x = 37,821.34

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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.