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Finding the Fourth Proportional to 54,185.37, 81,276.51 and 16,740

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Solution

The fourth proportional to 54,185.37, 81,276.51 and 16,740 is: 25,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,185.37 : 81,276.51 = 16,740 : x
  2. Step 2: Convert to fraction form
    54,185.37/81,276.51 = 16,740/x
  3. Step 3: Cross multiply
    54,185.37x = 81,276.51 × 16,740
  4. Step 4: Simplify right side
    54,185.37x = 1,360,568,777.40
  5. Step 5: Solve for x
    x = 1,360,568,777.40/54,185.37
  6. Step 6: Final answer
    x = 25,109.52

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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.