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Finding the Fourth Proportional to 97,482.45, 146,193.90 and 41,321.50

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Solution

The fourth proportional to 97,482.45, 146,193.90 and 41,321.50 is: 61,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482.45 : 146,193.90 = 41,321.50 : x
  2. Step 2: Convert to fraction form
    97,482.45/146,193.90 = 41,321.50/x
  3. Step 3: Cross multiply
    97,482.45x = 146,193.90 × 41,321.50
  4. Step 4: Simplify right side
    97,482.45x = 6,040,951,238.85
  5. Step 5: Solve for x
    x = 6,040,951,238.85/97,482.45
  6. Step 6: Final answer
    x = 61,969.63

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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.