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Finding the Fourth Proportional to 34,412.53, 47,494.82 and 20,265.38

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Solution

The fourth proportional to 34,412.53, 47,494.82 and 20,265.38 is: 27,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.53 : 47,494.82 = 20,265.38 : x
  2. Step 2: Convert to fraction form
    34,412.53/47,494.82 = 20,265.38/x
  3. Step 3: Cross multiply
    34,412.53x = 47,494.82 × 20,265.38
  4. Step 4: Simplify right side
    34,412.53x = 962,500,575.33
  5. Step 5: Solve for x
    x = 962,500,575.33/34,412.53
  6. Step 6: Final answer
    x = 27,969.48

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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.