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Finding the Fourth Proportional to 48,922.84, 67,513.80 and 27,704.08

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Solution

The fourth proportional to 48,922.84, 67,513.80 and 27,704.08 is: 38,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,922.84 : 67,513.80 = 27,704.08 : x
  2. Step 2: Convert to fraction form
    48,922.84/67,513.80 = 27,704.08/x
  3. Step 3: Cross multiply
    48,922.84x = 67,513.80 × 27,704.08
  4. Step 4: Simplify right side
    48,922.84x = 1,870,407,716.30
  5. Step 5: Solve for x
    x = 1,870,407,716.30/48,922.84
  6. Step 6: Final answer
    x = 38,231.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.