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Finding the Fourth Proportional to 49,402.84, 68,152.44 and 35,968

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Solution

The fourth proportional to 49,402.84, 68,152.44 and 35,968 is: 49,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,402.84 : 68,152.44 = 35,968 : x
  2. Step 2: Convert to fraction form
    49,402.84/68,152.44 = 35,968/x
  3. Step 3: Cross multiply
    49,402.84x = 68,152.44 × 35,968
  4. Step 4: Simplify right side
    49,402.84x = 2,451,306,961.92
  5. Step 5: Solve for x
    x = 2,451,306,961.92/49,402.84
  6. Step 6: Final answer
    x = 49,618.75

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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.