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Finding the Fourth Proportional to 76,954.50, 106,241.38 and 58,661.64

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Solution

The fourth proportional to 76,954.50, 106,241.38 and 58,661.64 is: 80,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954.50 : 106,241.38 = 58,661.64 : x
  2. Step 2: Convert to fraction form
    76,954.50/106,241.38 = 58,661.64/x
  3. Step 3: Cross multiply
    76,954.50x = 106,241.38 × 58,661.64
  4. Step 4: Simplify right side
    76,954.50x = 6,232,293,586.66
  5. Step 5: Solve for x
    x = 6,232,293,586.66/76,954.50
  6. Step 6: Final answer
    x = 80,986.73

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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.