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Finding the Fourth Proportional to 84,142.75, 116,131.88 and 50,170.84

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Solution

The fourth proportional to 84,142.75, 116,131.88 and 50,170.84 is: 69,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.75 : 116,131.88 = 50,170.84 : x
  2. Step 2: Convert to fraction form
    84,142.75/116,131.88 = 50,170.84/x
  3. Step 3: Cross multiply
    84,142.75x = 116,131.88 × 50,170.84
  4. Step 4: Simplify right side
    84,142.75x = 5,826,433,970.38
  5. Step 5: Solve for x
    x = 5,826,433,970.38/84,142.75
  6. Step 6: Final answer
    x = 69,244.63

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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.