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Finding the Fourth Proportional to 54,466.16, 75,162.74 and 30,267

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Solution

The fourth proportional to 54,466.16, 75,162.74 and 30,267 is: 41,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,466.16 : 75,162.74 = 30,267 : x
  2. Step 2: Convert to fraction form
    54,466.16/75,162.74 = 30,267/x
  3. Step 3: Cross multiply
    54,466.16x = 75,162.74 × 30,267
  4. Step 4: Simplify right side
    54,466.16x = 2,274,950,651.58
  5. Step 5: Solve for x
    x = 2,274,950,651.58/54,466.16
  6. Step 6: Final answer
    x = 41,768.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.