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Finding the Fourth Proportional to 55,198.50, 76,173.94 and 30,048

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Solution

The fourth proportional to 55,198.50, 76,173.94 and 30,048 is: 41,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198.50 : 76,173.94 = 30,048 : x
  2. Step 2: Convert to fraction form
    55,198.50/76,173.94 = 30,048/x
  3. Step 3: Cross multiply
    55,198.50x = 76,173.94 × 30,048
  4. Step 4: Simplify right side
    55,198.50x = 2,288,874,549.12
  5. Step 5: Solve for x
    x = 2,288,874,549.12/55,198.50
  6. Step 6: Final answer
    x = 41,466.25

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Why These Related Problems?

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