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Finding the Fourth Proportional to 85,825.44, 118,441.44 and 48,102.12

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Solution

The fourth proportional to 85,825.44, 118,441.44 and 48,102.12 is: 66,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,825.44 : 118,441.44 = 48,102.12 : x
  2. Step 2: Convert to fraction form
    85,825.44/118,441.44 = 48,102.12/x
  3. Step 3: Cross multiply
    85,825.44x = 118,441.44 × 48,102.12
  4. Step 4: Simplify right side
    85,825.44x = 5,697,284,359.85
  5. Step 5: Solve for x
    x = 5,697,284,359.85/85,825.44
  6. Step 6: Final answer
    x = 66,382.23

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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.