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Finding the Fourth Proportional to 68,076.65, 102,039.30 and 51,382.55

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Solution

The fourth proportional to 68,076.65, 102,039.30 and 51,382.55 is: 77,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076.65 : 102,039.30 = 51,382.55 : x
  2. Step 2: Convert to fraction form
    68,076.65/102,039.30 = 51,382.55/x
  3. Step 3: Cross multiply
    68,076.65x = 102,039.30 × 51,382.55
  4. Step 4: Simplify right side
    68,076.65x = 5,243,039,434.22
  5. Step 5: Solve for x
    x = 5,243,039,434.22/68,076.65
  6. Step 6: Final answer
    x = 77,016.71

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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.