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Finding the Fourth Proportional to 55,204, 76,181.70 and 30,053.68

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Solution

The fourth proportional to 55,204, 76,181.70 and 30,053.68 is: 41,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,204 : 76,181.70 = 30,053.68 : x
  2. Step 2: Convert to fraction form
    55,204/76,181.70 = 30,053.68/x
  3. Step 3: Cross multiply
    55,204x = 76,181.70 × 30,053.68
  4. Step 4: Simplify right side
    55,204x = 2,289,540,433.66
  5. Step 5: Solve for x
    x = 2,289,540,433.66/55,204
  6. Step 6: Final answer
    x = 41,474.18

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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.