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Finding the Fourth Proportional to 82,863.65, 114,342.98 and 55,634.22

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Solution

The fourth proportional to 82,863.65, 114,342.98 and 55,634.22 is: 76,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.65 : 114,342.98 = 55,634.22 : x
  2. Step 2: Convert to fraction form
    82,863.65/114,342.98 = 55,634.22/x
  3. Step 3: Cross multiply
    82,863.65x = 114,342.98 × 55,634.22
  4. Step 4: Simplify right side
    82,863.65x = 6,361,382,226.60
  5. Step 5: Solve for x
    x = 6,361,382,226.60/82,863.65
  6. Step 6: Final answer
    x = 76,769.27

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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.