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Finding the Fourth Proportional to 115,471.94, 173,212.78 and 36,584.42

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Solution

The fourth proportional to 115,471.94, 173,212.78 and 36,584.42 is: 54,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,471.94 : 173,212.78 = 36,584.42 : x
  2. Step 2: Convert to fraction form
    115,471.94/173,212.78 = 36,584.42/x
  3. Step 3: Cross multiply
    115,471.94x = 173,212.78 × 36,584.42
  4. Step 4: Simplify right side
    115,471.94x = 6,336,889,092.89
  5. Step 5: Solve for x
    x = 6,336,889,092.89/115,471.94
  6. Step 6: Final answer
    x = 54,878.17

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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.