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Finding the Fourth Proportional to 50,894.92, 76,391.79 and 31,211.92

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Solution

The fourth proportional to 50,894.92, 76,391.79 and 31,211.92 is: 46,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894.92 : 76,391.79 = 31,211.92 : x
  2. Step 2: Convert to fraction form
    50,894.92/76,391.79 = 31,211.92/x
  3. Step 3: Cross multiply
    50,894.92x = 76,391.79 × 31,211.92
  4. Step 4: Simplify right side
    50,894.92x = 2,384,334,438.14
  5. Step 5: Solve for x
    x = 2,384,334,438.14/50,894.92
  6. Step 6: Final answer
    x = 46,848.18

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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.