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Finding the Fourth Proportional to 54,941.96, 82,412.31 and 13,388.96

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Solution

The fourth proportional to 54,941.96, 82,412.31 and 13,388.96 is: 20,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,941.96 : 82,412.31 = 13,388.96 : x
  2. Step 2: Convert to fraction form
    54,941.96/82,412.31 = 13,388.96/x
  3. Step 3: Cross multiply
    54,941.96x = 82,412.31 × 13,388.96
  4. Step 4: Simplify right side
    54,941.96x = 1,103,415,122.10
  5. Step 5: Solve for x
    x = 1,103,415,122.10/54,941.96
  6. Step 6: Final answer
    x = 20,083.29

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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.