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Finding the Fourth Proportional to 27,733.76, 41,592.42 and 8,012.49

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Solution

The fourth proportional to 27,733.76, 41,592.42 and 8,012.49 is: 12,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733.76 : 41,592.42 = 8,012.49 : x
  2. Step 2: Convert to fraction form
    27,733.76/41,592.42 = 8,012.49/x
  3. Step 3: Cross multiply
    27,733.76x = 41,592.42 × 8,012.49
  4. Step 4: Simplify right side
    27,733.76x = 333,258,849.33
  5. Step 5: Solve for x
    x = 333,258,849.33/27,733.76
  6. Step 6: Final answer
    x = 12,016.36

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1.5x scale

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.