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Finding the Fourth Proportional to 49,774.92, 68,689.38 and 27,418.92

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Solution

The fourth proportional to 49,774.92, 68,689.38 and 27,418.92 is: 37,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774.92 : 68,689.38 = 27,418.92 : x
  2. Step 2: Convert to fraction form
    49,774.92/68,689.38 = 27,418.92/x
  3. Step 3: Cross multiply
    49,774.92x = 68,689.38 × 27,418.92
  4. Step 4: Simplify right side
    49,774.92x = 1,883,388,615.07
  5. Step 5: Solve for x
    x = 1,883,388,615.07/49,774.92
  6. Step 6: Final answer
    x = 37,838.10

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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.