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Finding the Fourth Proportional to 271,673.56, 407,514 and 72,013.24

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Solution

The fourth proportional to 271,673.56, 407,514 and 72,013.24 is: 108,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,673.56 : 407,514 = 72,013.24 : x
  2. Step 2: Convert to fraction form
    271,673.56/407,514 = 72,013.24/x
  3. Step 3: Cross multiply
    271,673.56x = 407,514 × 72,013.24
  4. Step 4: Simplify right side
    271,673.56x = 29,346,403,485.36
  5. Step 5: Solve for x
    x = 29,346,403,485.36/271,673.56
  6. Step 6: Final answer
    x = 108,020.83

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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.