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Finding the Fourth Proportional to 27,955.14, 41,941.76 and 8,233.80

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Solution

The fourth proportional to 27,955.14, 41,941.76 and 8,233.80 is: 12,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.14 : 41,941.76 = 8,233.80 : x
  2. Step 2: Convert to fraction form
    27,955.14/41,941.76 = 8,233.80/x
  3. Step 3: Cross multiply
    27,955.14x = 41,941.76 × 8,233.80
  4. Step 4: Simplify right side
    27,955.14x = 345,340,022.32
  5. Step 5: Solve for x
    x = 345,340,022.32/27,955.14
  6. Step 6: Final answer
    x = 12,353.36

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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.