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Finding the Fourth Proportional to 33,119.31, 45,696.84 and 22,384.17

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Solution

The fourth proportional to 33,119.31, 45,696.84 and 22,384.17 is: 30,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,119.31 : 45,696.84 = 22,384.17 : x
  2. Step 2: Convert to fraction form
    33,119.31/45,696.84 = 22,384.17/x
  3. Step 3: Cross multiply
    33,119.31x = 45,696.84 × 22,384.17
  4. Step 4: Simplify right side
    33,119.31x = 1,022,885,835.02
  5. Step 5: Solve for x
    x = 1,022,885,835.02/33,119.31
  6. Step 6: Final answer
    x = 30,884.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.