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Finding the Fourth Proportional to 97,464.27, 146,201.58 and 27,349.05

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Solution

The fourth proportional to 97,464.27, 146,201.58 and 27,349.05 is: 41,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,464.27 : 146,201.58 = 27,349.05 : x
  2. Step 2: Convert to fraction form
    97,464.27/146,201.58 = 27,349.05/x
  3. Step 3: Cross multiply
    97,464.27x = 146,201.58 × 27,349.05
  4. Step 4: Simplify right side
    97,464.27x = 3,998,474,321.50
  5. Step 5: Solve for x
    x = 3,998,474,321.50/97,464.27
  6. Step 6: Final answer
    x = 41,025.03

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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.