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Finding the Fourth Proportional to 49,310.82, 68,044.59 and 27,802.08

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Solution

The fourth proportional to 49,310.82, 68,044.59 and 27,802.08 is: 38,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,310.82 : 68,044.59 = 27,802.08 : x
  2. Step 2: Convert to fraction form
    49,310.82/68,044.59 = 27,802.08/x
  3. Step 3: Cross multiply
    49,310.82x = 68,044.59 × 27,802.08
  4. Step 4: Simplify right side
    49,310.82x = 1,891,781,134.75
  5. Step 5: Solve for x
    x = 1,891,781,134.75/49,310.82
  6. Step 6: Final answer
    x = 38,364.42

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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.