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Finding the Fourth Proportional to 33,583.14, 50,377.14 and 10,209.51

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Solution

The fourth proportional to 33,583.14, 50,377.14 and 10,209.51 is: 15,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.14 : 50,377.14 = 10,209.51 : x
  2. Step 2: Convert to fraction form
    33,583.14/50,377.14 = 10,209.51/x
  3. Step 3: Cross multiply
    33,583.14x = 50,377.14 × 10,209.51
  4. Step 4: Simplify right side
    33,583.14x = 514,325,914.60
  5. Step 5: Solve for x
    x = 514,325,914.60/33,583.14
  6. Step 6: Final answer
    x = 15,315.00

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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.