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Finding the Fourth Proportional to 49,042.67, 73,563.80 and 13,982.22

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Solution

The fourth proportional to 49,042.67, 73,563.80 and 13,982.22 is: 20,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,042.67 : 73,563.80 = 13,982.22 : x
  2. Step 2: Convert to fraction form
    49,042.67/73,563.80 = 13,982.22/x
  3. Step 3: Cross multiply
    49,042.67x = 73,563.80 × 13,982.22
  4. Step 4: Simplify right side
    49,042.67x = 1,028,585,165.72
  5. Step 5: Solve for x
    x = 1,028,585,165.72/49,042.67
  6. Step 6: Final answer
    x = 20,973.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.