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Finding the Fourth Proportional to 54,625.32, 81,964.80 and 19,567.80

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Solution

The fourth proportional to 54,625.32, 81,964.80 and 19,567.80 is: 29,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,625.32 : 81,964.80 = 19,567.80 : x
  2. Step 2: Convert to fraction form
    54,625.32/81,964.80 = 19,567.80/x
  3. Step 3: Cross multiply
    54,625.32x = 81,964.80 × 19,567.80
  4. Step 4: Simplify right side
    54,625.32x = 1,603,870,813.44
  5. Step 5: Solve for x
    x = 1,603,870,813.44/54,625.32
  6. Step 6: Final answer
    x = 29,361.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.