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Finding the Fourth Proportional to 49,767.84, 68,667.84 and 28,252.92

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Solution

The fourth proportional to 49,767.84, 68,667.84 and 28,252.92 is: 38,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767.84 : 68,667.84 = 28,252.92 : x
  2. Step 2: Convert to fraction form
    49,767.84/68,667.84 = 28,252.92/x
  3. Step 3: Cross multiply
    49,767.84x = 68,667.84 × 28,252.92
  4. Step 4: Simplify right side
    49,767.84x = 1,940,066,990.09
  5. Step 5: Solve for x
    x = 1,940,066,990.09/49,767.84
  6. Step 6: Final answer
    x = 38,982.34

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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.