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Finding the Fourth Proportional to 35,609.50, 49,114.38 and 29,974.36

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Solution

The fourth proportional to 35,609.50, 49,114.38 and 29,974.36 is: 41,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,609.50 : 49,114.38 = 29,974.36 : x
  2. Step 2: Convert to fraction form
    35,609.50/49,114.38 = 29,974.36/x
  3. Step 3: Cross multiply
    35,609.50x = 49,114.38 × 29,974.36
  4. Step 4: Simplify right side
    35,609.50x = 1,472,172,107.30
  5. Step 5: Solve for x
    x = 1,472,172,107.30/35,609.50
  6. Step 6: Final answer
    x = 41,342.12

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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.