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Finding the Fourth Proportional to 71,106.44, 106,690.80 and 33,693.23

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Solution

The fourth proportional to 71,106.44, 106,690.80 and 33,693.23 is: 50,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106.44 : 106,690.80 = 33,693.23 : x
  2. Step 2: Convert to fraction form
    71,106.44/106,690.80 = 33,693.23/x
  3. Step 3: Cross multiply
    71,106.44x = 106,690.80 × 33,693.23
  4. Step 4: Simplify right side
    71,106.44x = 3,594,757,663.28
  5. Step 5: Solve for x
    x = 3,594,757,663.28/71,106.44
  6. Step 6: Final answer
    x = 50,554.60

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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.