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Finding the Fourth Proportional to 105,766.50, 158,634.17 and 34,696.64

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Solution

The fourth proportional to 105,766.50, 158,634.17 and 34,696.64 is: 52,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,766.50 : 158,634.17 = 34,696.64 : x
  2. Step 2: Convert to fraction form
    105,766.50/158,634.17 = 34,696.64/x
  3. Step 3: Cross multiply
    105,766.50x = 158,634.17 × 34,696.64
  4. Step 4: Simplify right side
    105,766.50x = 5,504,071,721.53
  5. Step 5: Solve for x
    x = 5,504,071,721.53/105,766.50
  6. Step 6: Final answer
    x = 52,039.84

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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.