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Finding the Fourth Proportional to 54,008, 81,008.56 and 20,267.36

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Solution

The fourth proportional to 54,008, 81,008.56 and 20,267.36 is: 30,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,008 : 81,008.56 = 20,267.36 : x
  2. Step 2: Convert to fraction form
    54,008/81,008.56 = 20,267.36/x
  3. Step 3: Cross multiply
    54,008x = 81,008.56 × 20,267.36
  4. Step 4: Simplify right side
    54,008x = 1,641,829,648.60
  5. Step 5: Solve for x
    x = 1,641,829,648.60/54,008
  6. Step 6: Final answer
    x = 30,399.75

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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.