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Finding the Fourth Proportional to 73,207, 109,745.34 and 26,449.48

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Solution

The fourth proportional to 73,207, 109,745.34 and 26,449.48 is: 39,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,207 : 109,745.34 = 26,449.48 : x
  2. Step 2: Convert to fraction form
    73,207/109,745.34 = 26,449.48/x
  3. Step 3: Cross multiply
    73,207x = 109,745.34 × 26,449.48
  4. Step 4: Simplify right side
    73,207x = 2,902,707,175.42
  5. Step 5: Solve for x
    x = 2,902,707,175.42/73,207
  6. Step 6: Final answer
    x = 39,650.68

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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.