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Finding the Fourth Proportional to 54,033.94, 81,054.80 and 20,754

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Solution

The fourth proportional to 54,033.94, 81,054.80 and 20,754 is: 31,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,033.94 : 81,054.80 = 20,754 : x
  2. Step 2: Convert to fraction form
    54,033.94/81,054.80 = 20,754/x
  3. Step 3: Cross multiply
    54,033.94x = 81,054.80 × 20,754
  4. Step 4: Simplify right side
    54,033.94x = 1,682,211,319.20
  5. Step 5: Solve for x
    x = 1,682,211,319.20/54,033.94
  6. Step 6: Final answer
    x = 31,132.49

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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.