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Finding the Fourth Proportional to 49,902.75, 68,865.80 and 27,546.75

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Solution

The fourth proportional to 49,902.75, 68,865.80 and 27,546.75 is: 38,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.75 : 68,865.80 = 27,546.75 : x
  2. Step 2: Convert to fraction form
    49,902.75/68,865.80 = 27,546.75/x
  3. Step 3: Cross multiply
    49,902.75x = 68,865.80 × 27,546.75
  4. Step 4: Simplify right side
    49,902.75x = 1,897,028,838.42
  5. Step 5: Solve for x
    x = 1,897,028,838.42/49,902.75
  6. Step 6: Final answer
    x = 38,014.52

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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.