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Finding the Fourth Proportional to 54,814.50, 75,644.01 and 29,664

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Solution

The fourth proportional to 54,814.50, 75,644.01 and 29,664 is: 40,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814.50 : 75,644.01 = 29,664 : x
  2. Step 2: Convert to fraction form
    54,814.50/75,644.01 = 29,664/x
  3. Step 3: Cross multiply
    54,814.50x = 75,644.01 × 29,664
  4. Step 4: Simplify right side
    54,814.50x = 2,243,903,912.64
  5. Step 5: Solve for x
    x = 2,243,903,912.64/54,814.50
  6. Step 6: Final answer
    x = 40,936.32

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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.