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Finding the Fourth Proportional to 32,463.27, 48,694.91 and 7,839.27

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Solution

The fourth proportional to 32,463.27, 48,694.91 and 7,839.27 is: 11,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,463.27 : 48,694.91 = 7,839.27 : x
  2. Step 2: Convert to fraction form
    32,463.27/48,694.91 = 7,839.27/x
  3. Step 3: Cross multiply
    32,463.27x = 48,694.91 × 7,839.27
  4. Step 4: Simplify right side
    32,463.27x = 381,732,507.92
  5. Step 5: Solve for x
    x = 381,732,507.92/32,463.27
  6. Step 6: Final answer
    x = 11,758.91

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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.