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Finding the Fourth Proportional to 97,850.80, 146,738.94 and 41,655.44

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Solution

The fourth proportional to 97,850.80, 146,738.94 and 41,655.44 is: 62,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.80 : 146,738.94 = 41,655.44 : x
  2. Step 2: Convert to fraction form
    97,850.80/146,738.94 = 41,655.44/x
  3. Step 3: Cross multiply
    97,850.80x = 146,738.94 × 41,655.44
  4. Step 4: Simplify right side
    97,850.80x = 6,112,475,110.83
  5. Step 5: Solve for x
    x = 6,112,475,110.83/97,850.80
  6. Step 6: Final answer
    x = 62,467.30

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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.