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Finding the Fourth Proportional to 119,745.82, 179,521.32 and 44,824

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Solution

The fourth proportional to 119,745.82, 179,521.32 and 44,824 is: 67,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,745.82 : 179,521.32 = 44,824 : x
  2. Step 2: Convert to fraction form
    119,745.82/179,521.32 = 44,824/x
  3. Step 3: Cross multiply
    119,745.82x = 179,521.32 × 44,824
  4. Step 4: Simplify right side
    119,745.82x = 8,046,863,647.68
  5. Step 5: Solve for x
    x = 8,046,863,647.68/119,745.82
  6. Step 6: Final answer
    x = 67,199.54

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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.