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Finding the Fourth Proportional to 49,902.30, 68,865.03 and 27,546.30

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Solution

The fourth proportional to 49,902.30, 68,865.03 and 27,546.30 is: 38,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.30 : 68,865.03 = 27,546.30 : x
  2. Step 2: Convert to fraction form
    49,902.30/68,865.03 = 27,546.30/x
  3. Step 3: Cross multiply
    49,902.30x = 68,865.03 × 27,546.30
  4. Step 4: Simplify right side
    49,902.30x = 1,896,976,775.89
  5. Step 5: Solve for x
    x = 1,896,976,775.89/49,902.30
  6. Step 6: Final answer
    x = 38,013.81

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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.