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Finding the Fourth Proportional to 83,682.57, 115,481.52 and 45,441.77

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Solution

The fourth proportional to 83,682.57, 115,481.52 and 45,441.77 is: 62,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,682.57 : 115,481.52 = 45,441.77 : x
  2. Step 2: Convert to fraction form
    83,682.57/115,481.52 = 45,441.77/x
  3. Step 3: Cross multiply
    83,682.57x = 115,481.52 × 45,441.77
  4. Step 4: Simplify right side
    83,682.57x = 5,247,684,846.19
  5. Step 5: Solve for x
    x = 5,247,684,846.19/83,682.57
  6. Step 6: Final answer
    x = 62,709.41

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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.