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Finding the Fourth Proportional to 54,266.24, 81,412 and 16,824.36

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Solution

The fourth proportional to 54,266.24, 81,412 and 16,824.36 is: 25,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,266.24 : 81,412 = 16,824.36 : x
  2. Step 2: Convert to fraction form
    54,266.24/81,412 = 16,824.36/x
  3. Step 3: Cross multiply
    54,266.24x = 81,412 × 16,824.36
  4. Step 4: Simplify right side
    54,266.24x = 1,369,704,796.32
  5. Step 5: Solve for x
    x = 1,369,704,796.32/54,266.24
  6. Step 6: Final answer
    x = 25,240.46

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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.