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Finding the Fourth Proportional to 68,285.10, 102,424 and 26,185.35

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Solution

The fourth proportional to 68,285.10, 102,424 and 26,185.35 is: 39,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,285.10 : 102,424 = 26,185.35 : x
  2. Step 2: Convert to fraction form
    68,285.10/102,424 = 26,185.35/x
  3. Step 3: Cross multiply
    68,285.10x = 102,424 × 26,185.35
  4. Step 4: Simplify right side
    68,285.10x = 2,682,008,288.40
  5. Step 5: Solve for x
    x = 2,682,008,288.40/68,285.10
  6. Step 6: Final answer
    x = 39,276.63

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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.