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Finding the Fourth Proportional to 82,049.41, 112,489.78 and 80,554.81

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Solution

The fourth proportional to 82,049.41, 112,489.78 and 80,554.81 is: 110,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.41 : 112,489.78 = 80,554.81 : x
  2. Step 2: Convert to fraction form
    82,049.41/112,489.78 = 80,554.81/x
  3. Step 3: Cross multiply
    82,049.41x = 112,489.78 × 80,554.81
  4. Step 4: Simplify right side
    82,049.41x = 9,061,593,056.23
  5. Step 5: Solve for x
    x = 9,061,593,056.23/82,049.41
  6. Step 6: Final answer
    x = 110,440.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.