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Finding the Fourth Proportional to 27,941.16, 41,912.10 and 8,220.14

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Solution

The fourth proportional to 27,941.16, 41,912.10 and 8,220.14 is: 12,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.16 : 41,912.10 = 8,220.14 : x
  2. Step 2: Convert to fraction form
    27,941.16/41,912.10 = 8,220.14/x
  3. Step 3: Cross multiply
    27,941.16x = 41,912.10 × 8,220.14
  4. Step 4: Simplify right side
    27,941.16x = 344,523,329.69
  5. Step 5: Solve for x
    x = 344,523,329.69/27,941.16
  6. Step 6: Final answer
    x = 12,330.32

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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.