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Finding the Fourth Proportional to 27,530, 41,295 and 9,063.44

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Solution

The fourth proportional to 27,530, 41,295 and 9,063.44 is: 13,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530 : 41,295 = 9,063.44 : x
  2. Step 2: Convert to fraction form
    27,530/41,295 = 9,063.44/x
  3. Step 3: Cross multiply
    27,530x = 41,295 × 9,063.44
  4. Step 4: Simplify right side
    27,530x = 374,274,754.80
  5. Step 5: Solve for x
    x = 374,274,754.80/27,530
  6. Step 6: Final answer
    x = 13,595.16

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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.