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Finding the Fourth Proportional to 83,491.32, 125,249.94 and 28,083

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Solution

The fourth proportional to 83,491.32, 125,249.94 and 28,083 is: 42,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,491.32 : 125,249.94 = 28,083 : x
  2. Step 2: Convert to fraction form
    83,491.32/125,249.94 = 28,083/x
  3. Step 3: Cross multiply
    83,491.32x = 125,249.94 × 28,083
  4. Step 4: Simplify right side
    83,491.32x = 3,517,394,065.02
  5. Step 5: Solve for x
    x = 3,517,394,065.02/83,491.32
  6. Step 6: Final answer
    x = 42,128.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.