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Finding the Fourth Proportional to 27,452, 41,178 and 6,675.56

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Solution

The fourth proportional to 27,452, 41,178 and 6,675.56 is: 10,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452 : 41,178 = 6,675.56 : x
  2. Step 2: Convert to fraction form
    27,452/41,178 = 6,675.56/x
  3. Step 3: Cross multiply
    27,452x = 41,178 × 6,675.56
  4. Step 4: Simplify right side
    27,452x = 274,886,209.68
  5. Step 5: Solve for x
    x = 274,886,209.68/27,452
  6. Step 6: Final answer
    x = 10,013.34

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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.