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Finding the Fourth Proportional to 34,578.38, 47,719.11 and 21,149.39

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Solution

The fourth proportional to 34,578.38, 47,719.11 and 21,149.39 is: 29,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578.38 : 47,719.11 = 21,149.39 : x
  2. Step 2: Convert to fraction form
    34,578.38/47,719.11 = 21,149.39/x
  3. Step 3: Cross multiply
    34,578.38x = 47,719.11 × 21,149.39
  4. Step 4: Simplify right side
    34,578.38x = 1,009,230,067.84
  5. Step 5: Solve for x
    x = 1,009,230,067.84/34,578.38
  6. Step 6: Final answer
    x = 29,186.74

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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.