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Finding the Fourth Proportional to 68,825.66, 94,978.98 and 38,198.42

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Solution

The fourth proportional to 68,825.66, 94,978.98 and 38,198.42 is: 52,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,825.66 : 94,978.98 = 38,198.42 : x
  2. Step 2: Convert to fraction form
    68,825.66/94,978.98 = 38,198.42/x
  3. Step 3: Cross multiply
    68,825.66x = 94,978.98 × 38,198.42
  4. Step 4: Simplify right side
    68,825.66x = 3,628,046,969.21
  5. Step 5: Solve for x
    x = 3,628,046,969.21/68,825.66
  6. Step 6: Final answer
    x = 52,713.58

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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.