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Finding the Fourth Proportional to 82,052.19, 113,232.15 and 44,326.44

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Solution

The fourth proportional to 82,052.19, 113,232.15 and 44,326.44 is: 61,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,052.19 : 113,232.15 = 44,326.44 : x
  2. Step 2: Convert to fraction form
    82,052.19/113,232.15 = 44,326.44/x
  3. Step 3: Cross multiply
    82,052.19x = 113,232.15 × 44,326.44
  4. Step 4: Simplify right side
    82,052.19x = 5,019,178,103.05
  5. Step 5: Solve for x
    x = 5,019,178,103.05/82,052.19
  6. Step 6: Final answer
    x = 61,170.56

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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.