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Finding the Fourth Proportional to 54,714.96, 82,072.44 and 19,646.28

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Solution

The fourth proportional to 54,714.96, 82,072.44 and 19,646.28 is: 29,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,714.96 : 82,072.44 = 19,646.28 : x
  2. Step 2: Convert to fraction form
    54,714.96/82,072.44 = 19,646.28/x
  3. Step 3: Cross multiply
    54,714.96x = 82,072.44 × 19,646.28
  4. Step 4: Simplify right side
    54,714.96x = 1,612,418,136.52
  5. Step 5: Solve for x
    x = 1,612,418,136.52/54,714.96
  6. Step 6: Final answer
    x = 29,469.42

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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.