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Finding the Fourth Proportional to 29,834.68, 41,177.82 and 22,748.44

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Solution

The fourth proportional to 29,834.68, 41,177.82 and 22,748.44 is: 31,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.68 : 41,177.82 = 22,748.44 : x
  2. Step 2: Convert to fraction form
    29,834.68/41,177.82 = 22,748.44/x
  3. Step 3: Cross multiply
    29,834.68x = 41,177.82 × 22,748.44
  4. Step 4: Simplify right side
    29,834.68x = 936,731,167.60
  5. Step 5: Solve for x
    x = 936,731,167.60/29,834.68
  6. Step 6: Final answer
    x = 31,397.39

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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.