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Finding the Fourth Proportional to 89,527.68, 134,294.52 and 27,198

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Solution

The fourth proportional to 89,527.68, 134,294.52 and 27,198 is: 40,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,527.68 : 134,294.52 = 27,198 : x
  2. Step 2: Convert to fraction form
    89,527.68/134,294.52 = 27,198/x
  3. Step 3: Cross multiply
    89,527.68x = 134,294.52 × 27,198
  4. Step 4: Simplify right side
    89,527.68x = 3,652,542,354.96
  5. Step 5: Solve for x
    x = 3,652,542,354.96/89,527.68
  6. Step 6: Final answer
    x = 40,797.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.