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Finding the Fourth Proportional to 73,183, 109,774.77 and 17,779

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Solution

The fourth proportional to 73,183, 109,774.77 and 17,779 is: 26,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,183 : 109,774.77 = 17,779 : x
  2. Step 2: Convert to fraction form
    73,183/109,774.77 = 17,779/x
  3. Step 3: Cross multiply
    73,183x = 109,774.77 × 17,779
  4. Step 4: Simplify right side
    73,183x = 1,951,685,635.83
  5. Step 5: Solve for x
    x = 1,951,685,635.83/73,183
  6. Step 6: Final answer
    x = 26,668.57

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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.