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Finding the Fourth Proportional to 33,598.14, 50,382.65 and 10,219.18

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Solution

The fourth proportional to 33,598.14, 50,382.65 and 10,219.18 is: 15,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.14 : 50,382.65 = 10,219.18 : x
  2. Step 2: Convert to fraction form
    33,598.14/50,382.65 = 10,219.18/x
  3. Step 3: Cross multiply
    33,598.14x = 50,382.65 × 10,219.18
  4. Step 4: Simplify right side
    33,598.14x = 514,869,369.23
  5. Step 5: Solve for x
    x = 514,869,369.23/33,598.14
  6. Step 6: Final answer
    x = 15,324.34

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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.