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Finding the Fourth Proportional to 112,821.84, 169,236 and 33,927.84

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Solution

The fourth proportional to 112,821.84, 169,236 and 33,927.84 is: 50,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,821.84 : 169,236 = 33,927.84 : x
  2. Step 2: Convert to fraction form
    112,821.84/169,236 = 33,927.84/x
  3. Step 3: Cross multiply
    112,821.84x = 169,236 × 33,927.84
  4. Step 4: Simplify right side
    112,821.84x = 5,741,811,930.24
  5. Step 5: Solve for x
    x = 5,741,811,930.24/112,821.84
  6. Step 6: Final answer
    x = 50,892.73

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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.