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Finding the Fourth Proportional to 49,223, 67,928.10 and 26,867

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Solution

The fourth proportional to 49,223, 67,928.10 and 26,867 is: 37,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223 : 67,928.10 = 26,867 : x
  2. Step 2: Convert to fraction form
    49,223/67,928.10 = 26,867/x
  3. Step 3: Cross multiply
    49,223x = 67,928.10 × 26,867
  4. Step 4: Simplify right side
    49,223x = 1,825,024,262.70
  5. Step 5: Solve for x
    x = 1,825,024,262.70/49,223
  6. Step 6: Final answer
    x = 37,076.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.