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Finding the Fourth Proportional to 70,902.54, 106,267.70 and 33,418.73

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Solution

The fourth proportional to 70,902.54, 106,267.70 and 33,418.73 is: 50,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.54 : 106,267.70 = 33,418.73 : x
  2. Step 2: Convert to fraction form
    70,902.54/106,267.70 = 33,418.73/x
  3. Step 3: Cross multiply
    70,902.54x = 106,267.70 × 33,418.73
  4. Step 4: Simplify right side
    70,902.54x = 3,551,331,137.50
  5. Step 5: Solve for x
    x = 3,551,331,137.50/70,902.54
  6. Step 6: Final answer
    x = 50,087.50

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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.