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Finding the Fourth Proportional to 76,954.86, 115,404.62 and 32,584.82

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Solution

The fourth proportional to 76,954.86, 115,404.62 and 32,584.82 is: 48,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.86 : 115,404.62 = 32,584.82 : x
  2. Step 2: Convert to fraction form
    76,954.86/115,404.62 = 32,584.82/x
  3. Step 3: Cross multiply
    76,954.86x = 115,404.62 × 32,584.82
  4. Step 4: Simplify right side
    76,954.86x = 3,760,438,029.92
  5. Step 5: Solve for x
    x = 3,760,438,029.92/76,954.86
  6. Step 6: Final answer
    x = 48,865.50

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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.