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Finding the Fourth Proportional to 35,609.38, 49,126.09 and 20,498.42

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Solution

The fourth proportional to 35,609.38, 49,126.09 and 20,498.42 is: 28,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,609.38 : 49,126.09 = 20,498.42 : x
  2. Step 2: Convert to fraction form
    35,609.38/49,126.09 = 20,498.42/x
  3. Step 3: Cross multiply
    35,609.38x = 49,126.09 × 20,498.42
  4. Step 4: Simplify right side
    35,609.38x = 1,007,007,225.78
  5. Step 5: Solve for x
    x = 1,007,007,225.78/35,609.38
  6. Step 6: Final answer
    x = 28,279.27

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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.