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Finding the Fourth Proportional to 110,696.28, 166,072.50 and 31,810.59

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Solution

The fourth proportional to 110,696.28, 166,072.50 and 31,810.59 is: 47,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,696.28 : 166,072.50 = 31,810.59 : x
  2. Step 2: Convert to fraction form
    110,696.28/166,072.50 = 31,810.59/x
  3. Step 3: Cross multiply
    110,696.28x = 166,072.50 × 31,810.59
  4. Step 4: Simplify right side
    110,696.28x = 5,282,863,377.41
  5. Step 5: Solve for x
    x = 5,282,863,377.41/110,696.28
  6. Step 6: Final answer
    x = 47,723.95

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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.