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Finding the Fourth Proportional to 35,951.96, 49,613.70 and 20,853.38

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Solution

The fourth proportional to 35,951.96, 49,613.70 and 20,853.38 is: 28,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,951.96 : 49,613.70 = 20,853.38 : x
  2. Step 2: Convert to fraction form
    35,951.96/49,613.70 = 20,853.38/x
  3. Step 3: Cross multiply
    35,951.96x = 49,613.70 × 20,853.38
  4. Step 4: Simplify right side
    35,951.96x = 1,034,613,339.31
  5. Step 5: Solve for x
    x = 1,034,613,339.31/35,951.96
  6. Step 6: Final answer
    x = 28,777.66

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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.