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Finding the Fourth Proportional to 96,332.30, 144,499.52 and 43,027

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Solution

The fourth proportional to 96,332.30, 144,499.52 and 43,027 is: 64,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,332.30 : 144,499.52 = 43,027 : x
  2. Step 2: Convert to fraction form
    96,332.30/144,499.52 = 43,027/x
  3. Step 3: Cross multiply
    96,332.30x = 144,499.52 × 43,027
  4. Step 4: Simplify right side
    96,332.30x = 6,217,380,847.04
  5. Step 5: Solve for x
    x = 6,217,380,847.04/96,332.30
  6. Step 6: Final answer
    x = 64,540.98

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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.