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Finding the Fourth Proportional to 49,935, 68,914.68 and 27,583.32

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Solution

The fourth proportional to 49,935, 68,914.68 and 27,583.32 is: 38,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,935 : 68,914.68 = 27,583.32 : x
  2. Step 2: Convert to fraction form
    49,935/68,914.68 = 27,583.32/x
  3. Step 3: Cross multiply
    49,935x = 68,914.68 × 27,583.32
  4. Step 4: Simplify right side
    49,935x = 1,900,895,671.14
  5. Step 5: Solve for x
    x = 1,900,895,671.14/49,935
  6. Step 6: Final answer
    x = 38,067.40

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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.