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Finding the Fourth Proportional to 50,845.46, 70,143.00 and 31,992.98

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Solution

The fourth proportional to 50,845.46, 70,143.00 and 31,992.98 is: 44,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,845.46 : 70,143.00 = 31,992.98 : x
  2. Step 2: Convert to fraction form
    50,845.46/70,143.00 = 31,992.98/x
  3. Step 3: Cross multiply
    50,845.46x = 70,143.00 × 31,992.98
  4. Step 4: Simplify right side
    50,845.46x = 2,244,083,568.45
  5. Step 5: Solve for x
    x = 2,244,083,568.45/50,845.46
  6. Step 6: Final answer
    x = 44,135.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.