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Finding the Fourth Proportional to 54,096, 81,144.32 and 14,650.24

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Solution

The fourth proportional to 54,096, 81,144.32 and 14,650.24 is: 21,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,096 : 81,144.32 = 14,650.24 : x
  2. Step 2: Convert to fraction form
    54,096/81,144.32 = 14,650.24/x
  3. Step 3: Cross multiply
    54,096x = 81,144.32 × 14,650.24
  4. Step 4: Simplify right side
    54,096x = 1,188,783,762.64
  5. Step 5: Solve for x
    x = 1,188,783,762.64/54,096
  6. Step 6: Final answer
    x = 21,975.45

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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.