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Finding the Fourth Proportional to 97,351.44, 146,027.16 and 35,022

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Solution

The fourth proportional to 97,351.44, 146,027.16 and 35,022 is: 52,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,351.44 : 146,027.16 = 35,022 : x
  2. Step 2: Convert to fraction form
    97,351.44/146,027.16 = 35,022/x
  3. Step 3: Cross multiply
    97,351.44x = 146,027.16 × 35,022
  4. Step 4: Simplify right side
    97,351.44x = 5,114,163,197.52
  5. Step 5: Solve for x
    x = 5,114,163,197.52/97,351.44
  6. Step 6: Final answer
    x = 52,533

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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.