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Finding the Fourth Proportional to 54,033.87, 80,985.15 and 38,243.50

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Solution

The fourth proportional to 54,033.87, 80,985.15 and 38,243.50 is: 57,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,033.87 : 80,985.15 = 38,243.50 : x
  2. Step 2: Convert to fraction form
    54,033.87/80,985.15 = 38,243.50/x
  3. Step 3: Cross multiply
    54,033.87x = 80,985.15 × 38,243.50
  4. Step 4: Simplify right side
    54,033.87x = 3,097,155,584.03
  5. Step 5: Solve for x
    x = 3,097,155,584.03/54,033.87
  6. Step 6: Final answer
    x = 57,318.78

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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.