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Finding the Fourth Proportional to 54,964.50, 75,851.04 and 29,814

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Solution

The fourth proportional to 54,964.50, 75,851.04 and 29,814 is: 41,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964.50 : 75,851.04 = 29,814 : x
  2. Step 2: Convert to fraction form
    54,964.50/75,851.04 = 29,814/x
  3. Step 3: Cross multiply
    54,964.50x = 75,851.04 × 29,814
  4. Step 4: Simplify right side
    54,964.50x = 2,261,422,906.56
  5. Step 5: Solve for x
    x = 2,261,422,906.56/54,964.50
  6. Step 6: Final answer
    x = 41,143.34

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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.