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Finding the Fourth Proportional to 49,851.10, 68,794.77 and 27,495.10

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Solution

The fourth proportional to 49,851.10, 68,794.77 and 27,495.10 is: 37,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,851.10 : 68,794.77 = 27,495.10 : x
  2. Step 2: Convert to fraction form
    49,851.10/68,794.77 = 27,495.10/x
  3. Step 3: Cross multiply
    49,851.10x = 68,794.77 × 27,495.10
  4. Step 4: Simplify right side
    49,851.10x = 1,891,519,080.63
  5. Step 5: Solve for x
    x = 1,891,519,080.63/49,851.10
  6. Step 6: Final answer
    x = 37,943.38

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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.