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Finding the Fourth Proportional to 55,180, 82,770.24 and 13,627

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Solution

The fourth proportional to 55,180, 82,770.24 and 13,627 is: 20,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,180 : 82,770.24 = 13,627 : x
  2. Step 2: Convert to fraction form
    55,180/82,770.24 = 13,627/x
  3. Step 3: Cross multiply
    55,180x = 82,770.24 × 13,627
  4. Step 4: Simplify right side
    55,180x = 1,127,910,060.48
  5. Step 5: Solve for x
    x = 1,127,910,060.48/55,180
  6. Step 6: Final answer
    x = 20,440.56

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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.