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Finding the Fourth Proportional to 68,154.18, 102,275 and 33,074.70

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Solution

The fourth proportional to 68,154.18, 102,275 and 33,074.70 is: 49,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,154.18 : 102,275 = 33,074.70 : x
  2. Step 2: Convert to fraction form
    68,154.18/102,275 = 33,074.70/x
  3. Step 3: Cross multiply
    68,154.18x = 102,275 × 33,074.70
  4. Step 4: Simplify right side
    68,154.18x = 3,382,714,942.50
  5. Step 5: Solve for x
    x = 3,382,714,942.50/68,154.18
  6. Step 6: Final answer
    x = 49,633.27

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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.