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Finding the Fourth Proportional to 57,179.72, 85,654.77 and 27,509.42

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Solution

The fourth proportional to 57,179.72, 85,654.77 and 27,509.42 is: 41,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,179.72 : 85,654.77 = 27,509.42 : x
  2. Step 2: Convert to fraction form
    57,179.72/85,654.77 = 27,509.42/x
  3. Step 3: Cross multiply
    57,179.72x = 85,654.77 × 27,509.42
  4. Step 4: Simplify right side
    57,179.72x = 2,356,313,153.91
  5. Step 5: Solve for x
    x = 2,356,313,153.91/57,179.72
  6. Step 6: Final answer
    x = 41,208.89

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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.