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Finding the Fourth Proportional to 34,949.38, 48,264.42 and 29,884.36

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Solution

The fourth proportional to 34,949.38, 48,264.42 and 29,884.36 is: 41,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,949.38 : 48,264.42 = 29,884.36 : x
  2. Step 2: Convert to fraction form
    34,949.38/48,264.42 = 29,884.36/x
  3. Step 3: Cross multiply
    34,949.38x = 48,264.42 × 29,884.36
  4. Step 4: Simplify right side
    34,949.38x = 1,442,351,302.47
  5. Step 5: Solve for x
    x = 1,442,351,302.47/34,949.38
  6. Step 6: Final answer
    x = 41,269.73

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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.