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Finding the Fourth Proportional to 54,846.21, 82,269.31 and 13,293.21

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Solution

The fourth proportional to 54,846.21, 82,269.31 and 13,293.21 is: 19,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,846.21 : 82,269.31 = 13,293.21 : x
  2. Step 2: Convert to fraction form
    54,846.21/82,269.31 = 13,293.21/x
  3. Step 3: Cross multiply
    54,846.21x = 82,269.31 × 13,293.21
  4. Step 4: Simplify right side
    54,846.21x = 1,093,623,214.39
  5. Step 5: Solve for x
    x = 1,093,623,214.39/54,846.21
  6. Step 6: Final answer
    x = 19,939.81

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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.