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Finding the Fourth Proportional to 33,541.46, 50,298.98 and 12,189.14

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Solution

The fourth proportional to 33,541.46, 50,298.98 and 12,189.14 is: 18,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541.46 : 50,298.98 = 12,189.14 : x
  2. Step 2: Convert to fraction form
    33,541.46/50,298.98 = 12,189.14/x
  3. Step 3: Cross multiply
    33,541.46x = 50,298.98 × 12,189.14
  4. Step 4: Simplify right side
    33,541.46x = 613,101,309.08
  5. Step 5: Solve for x
    x = 613,101,309.08/33,541.46
  6. Step 6: Final answer
    x = 18,278.91

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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.