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Finding the Fourth Proportional to 33,882.14, 46,751.90 and 21,297.98

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Solution

The fourth proportional to 33,882.14, 46,751.90 and 21,297.98 is: 29,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.14 : 46,751.90 = 21,297.98 : x
  2. Step 2: Convert to fraction form
    33,882.14/46,751.90 = 21,297.98/x
  3. Step 3: Cross multiply
    33,882.14x = 46,751.90 × 21,297.98
  4. Step 4: Simplify right side
    33,882.14x = 995,721,031.16
  5. Step 5: Solve for x
    x = 995,721,031.16/33,882.14
  6. Step 6: Final answer
    x = 29,387.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.