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Finding the Fourth Proportional to 34,536.97, 47,454.48 and 27,451.09

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Solution

The fourth proportional to 34,536.97, 47,454.48 and 27,451.09 is: 37,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536.97 : 47,454.48 = 27,451.09 : x
  2. Step 2: Convert to fraction form
    34,536.97/47,454.48 = 27,451.09/x
  3. Step 3: Cross multiply
    34,536.97x = 47,454.48 × 27,451.09
  4. Step 4: Simplify right side
    34,536.97x = 1,302,677,201.38
  5. Step 5: Solve for x
    x = 1,302,677,201.38/34,536.97
  6. Step 6: Final answer
    x = 37,718.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.