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Finding the Fourth Proportional to 33,812.84, 50,731.11 and 19,785.06

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Solution

The fourth proportional to 33,812.84, 50,731.11 and 19,785.06 is: 29,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812.84 : 50,731.11 = 19,785.06 : x
  2. Step 2: Convert to fraction form
    33,812.84/50,731.11 = 19,785.06/x
  3. Step 3: Cross multiply
    33,812.84x = 50,731.11 × 19,785.06
  4. Step 4: Simplify right side
    33,812.84x = 1,003,718,055.22
  5. Step 5: Solve for x
    x = 1,003,718,055.22/33,812.84
  6. Step 6: Final answer
    x = 29,684.52

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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.