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Finding the Fourth Proportional to 97,896.70, 146,850.64 and 27,770.50

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Solution

The fourth proportional to 97,896.70, 146,850.64 and 27,770.50 is: 41,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896.70 : 146,850.64 = 27,770.50 : x
  2. Step 2: Convert to fraction form
    97,896.70/146,850.64 = 27,770.50/x
  3. Step 3: Cross multiply
    97,896.70x = 146,850.64 × 27,770.50
  4. Step 4: Simplify right side
    97,896.70x = 4,078,115,698.12
  5. Step 5: Solve for x
    x = 4,078,115,698.12/97,896.70
  6. Step 6: Final answer
    x = 41,657.34

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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.