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Finding the Fourth Proportional to 80,027.97, 119,923.16 and 32,585.03

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Solution

The fourth proportional to 80,027.97, 119,923.16 and 32,585.03 is: 48,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,027.97 : 119,923.16 = 32,585.03 : x
  2. Step 2: Convert to fraction form
    80,027.97/119,923.16 = 32,585.03/x
  3. Step 3: Cross multiply
    80,027.97x = 119,923.16 × 32,585.03
  4. Step 4: Simplify right side
    80,027.97x = 3,907,699,003.75
  5. Step 5: Solve for x
    x = 3,907,699,003.75/80,027.97
  6. Step 6: Final answer
    x = 48,829.17

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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.