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Finding the Fourth Proportional to 61,961.40, 85,514.10 and 36,811

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Solution

The fourth proportional to 61,961.40, 85,514.10 and 36,811 is: 50,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,961.40 : 85,514.10 = 36,811 : x
  2. Step 2: Convert to fraction form
    61,961.40/85,514.10 = 36,811/x
  3. Step 3: Cross multiply
    61,961.40x = 85,514.10 × 36,811
  4. Step 4: Simplify right side
    61,961.40x = 3,147,859,535.10
  5. Step 5: Solve for x
    x = 3,147,859,535.10/61,961.40
  6. Step 6: Final answer
    x = 50,803.56

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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.