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Finding the Fourth Proportional to 49,851, 68,799.24 and 27,495

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Solution

The fourth proportional to 49,851, 68,799.24 and 27,495 is: 37,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,851 : 68,799.24 = 27,495 : x
  2. Step 2: Convert to fraction form
    49,851/68,799.24 = 27,495/x
  3. Step 3: Cross multiply
    49,851x = 68,799.24 × 27,495
  4. Step 4: Simplify right side
    49,851x = 1,891,635,103.80
  5. Step 5: Solve for x
    x = 1,891,635,103.80/49,851
  6. Step 6: Final answer
    x = 37,945.78

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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.