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Finding the Fourth Proportional to 85,352.94, 117,786.96 and 49,544.46

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Solution

The fourth proportional to 85,352.94, 117,786.96 and 49,544.46 is: 68,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352.94 : 117,786.96 = 49,544.46 : x
  2. Step 2: Convert to fraction form
    85,352.94/117,786.96 = 49,544.46/x
  3. Step 3: Cross multiply
    85,352.94x = 117,786.96 × 49,544.46
  4. Step 4: Simplify right side
    85,352.94x = 5,835,691,328.24
  5. Step 5: Solve for x
    x = 5,835,691,328.24/85,352.94
  6. Step 6: Final answer
    x = 68,371.30

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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.