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Finding the Fourth Proportional to 97,467.50, 146,204.22 and 27,346.88

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Solution

The fourth proportional to 97,467.50, 146,204.22 and 27,346.88 is: 41,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,467.50 : 146,204.22 = 27,346.88 : x
  2. Step 2: Convert to fraction form
    97,467.50/146,204.22 = 27,346.88/x
  3. Step 3: Cross multiply
    97,467.50x = 146,204.22 × 27,346.88
  4. Step 4: Simplify right side
    97,467.50x = 3,998,229,259.83
  5. Step 5: Solve for x
    x = 3,998,229,259.83/97,467.50
  6. Step 6: Final answer
    x = 41,021.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.