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Finding the Fourth Proportional to 74,317.73, 111,449.67 and 31,626

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Solution

The fourth proportional to 74,317.73, 111,449.67 and 31,626 is: 47,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,317.73 : 111,449.67 = 31,626 : x
  2. Step 2: Convert to fraction form
    74,317.73/111,449.67 = 31,626/x
  3. Step 3: Cross multiply
    74,317.73x = 111,449.67 × 31,626
  4. Step 4: Simplify right side
    74,317.73x = 3,524,707,263.42
  5. Step 5: Solve for x
    x = 3,524,707,263.42/74,317.73
  6. Step 6: Final answer
    x = 47,427.55

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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.