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Finding the Fourth Proportional to 54,694.80, 81,992.70 and 38,062.80

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Solution

The fourth proportional to 54,694.80, 81,992.70 and 38,062.80 is: 57,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694.80 : 81,992.70 = 38,062.80 : x
  2. Step 2: Convert to fraction form
    54,694.80/81,992.70 = 38,062.80/x
  3. Step 3: Cross multiply
    54,694.80x = 81,992.70 × 38,062.80
  4. Step 4: Simplify right side
    54,694.80x = 3,120,871,741.56
  5. Step 5: Solve for x
    x = 3,120,871,741.56/54,694.80
  6. Step 6: Final answer
    x = 57,059.75

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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.