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Finding the Fourth Proportional to 81,976.40, 122,964.60 and 25,823.60

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Solution

The fourth proportional to 81,976.40, 122,964.60 and 25,823.60 is: 38,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,976.40 : 122,964.60 = 25,823.60 : x
  2. Step 2: Convert to fraction form
    81,976.40/122,964.60 = 25,823.60/x
  3. Step 3: Cross multiply
    81,976.40x = 122,964.60 × 25,823.60
  4. Step 4: Simplify right side
    81,976.40x = 3,175,388,644.56
  5. Step 5: Solve for x
    x = 3,175,388,644.56/81,976.40
  6. Step 6: Final answer
    x = 38,735.40

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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.