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Finding the Fourth Proportional to 33,815.33, 50,713.08 and 12,740.17

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Solution

The fourth proportional to 33,815.33, 50,713.08 and 12,740.17 is: 19,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,815.33 : 50,713.08 = 12,740.17 : x
  2. Step 2: Convert to fraction form
    33,815.33/50,713.08 = 12,740.17/x
  3. Step 3: Cross multiply
    33,815.33x = 50,713.08 × 12,740.17
  4. Step 4: Simplify right side
    33,815.33x = 646,093,260.42
  5. Step 5: Solve for x
    x = 646,093,260.42/33,815.33
  6. Step 6: Final answer
    x = 19,106.52

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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.