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Finding the Fourth Proportional to 35,676.38, 49,233.48 and 19,760.52

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Solution

The fourth proportional to 35,676.38, 49,233.48 and 19,760.52 is: 27,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676.38 : 49,233.48 = 19,760.52 : x
  2. Step 2: Convert to fraction form
    35,676.38/49,233.48 = 19,760.52/x
  3. Step 3: Cross multiply
    35,676.38x = 49,233.48 × 19,760.52
  4. Step 4: Simplify right side
    35,676.38x = 972,879,166.21
  5. Step 5: Solve for x
    x = 972,879,166.21/35,676.38
  6. Step 6: Final answer
    x = 27,269.56

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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.