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Finding the Fourth Proportional to 73,183.75, 109,775.90 and 17,779.75

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Solution

The fourth proportional to 73,183.75, 109,775.90 and 17,779.75 is: 26,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,183.75 : 109,775.90 = 17,779.75 : x
  2. Step 2: Convert to fraction form
    73,183.75/109,775.90 = 17,779.75/x
  3. Step 3: Cross multiply
    73,183.75x = 109,775.90 × 17,779.75
  4. Step 4: Simplify right side
    73,183.75x = 1,951,788,058.03
  5. Step 5: Solve for x
    x = 1,951,788,058.03/73,183.75
  6. Step 6: Final answer
    x = 26,669.69

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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.