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Finding the Fourth Proportional to 68,072.30, 102,032.78 and 51,378.20

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Solution

The fourth proportional to 68,072.30, 102,032.78 and 51,378.20 is: 77,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,072.30 : 102,032.78 = 51,378.20 : x
  2. Step 2: Convert to fraction form
    68,072.30/102,032.78 = 51,378.20/x
  3. Step 3: Cross multiply
    68,072.30x = 102,032.78 × 51,378.20
  4. Step 4: Simplify right side
    68,072.30x = 5,242,260,481.97
  5. Step 5: Solve for x
    x = 5,242,260,481.97/68,072.30
  6. Step 6: Final answer
    x = 77,010.19

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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.