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Finding the Fourth Proportional to 82,863.57, 114,351.72 and 45,137.82

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Solution

The fourth proportional to 82,863.57, 114,351.72 and 45,137.82 is: 62,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.57 : 114,351.72 = 45,137.82 : x
  2. Step 2: Convert to fraction form
    82,863.57/114,351.72 = 45,137.82/x
  3. Step 3: Cross multiply
    82,863.57x = 114,351.72 × 45,137.82
  4. Step 4: Simplify right side
    82,863.57x = 5,161,587,354.05
  5. Step 5: Solve for x
    x = 5,161,587,354.05/82,863.57
  6. Step 6: Final answer
    x = 62,290.19

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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.