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Finding the Fourth Proportional to 54,918.97, 82,378.46 and 13,365.97

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Solution

The fourth proportional to 54,918.97, 82,378.46 and 13,365.97 is: 20,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,918.97 : 82,378.46 = 13,365.97 : x
  2. Step 2: Convert to fraction form
    54,918.97/82,378.46 = 13,365.97/x
  3. Step 3: Cross multiply
    54,918.97x = 82,378.46 × 13,365.97
  4. Step 4: Simplify right side
    54,918.97x = 1,101,068,025.01
  5. Step 5: Solve for x
    x = 1,101,068,025.01/54,918.97
  6. Step 6: Final answer
    x = 20,048.96

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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.