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Finding the Fourth Proportional to 76,540.45, 105,677.36 and 68,449

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Solution

The fourth proportional to 76,540.45, 105,677.36 and 68,449 is: 94,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,540.45 : 105,677.36 = 68,449 : x
  2. Step 2: Convert to fraction form
    76,540.45/105,677.36 = 68,449/x
  3. Step 3: Cross multiply
    76,540.45x = 105,677.36 × 68,449
  4. Step 4: Simplify right side
    76,540.45x = 7,233,509,614.64
  5. Step 5: Solve for x
    x = 7,233,509,614.64/76,540.45
  6. Step 6: Final answer
    x = 94,505.71

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