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Finding the Fourth Proportional to 35,964.96, 49,631.52 and 20,049.60

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Solution

The fourth proportional to 35,964.96, 49,631.52 and 20,049.60 is: 27,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964.96 : 49,631.52 = 20,049.60 : x
  2. Step 2: Convert to fraction form
    35,964.96/49,631.52 = 20,049.60/x
  3. Step 3: Cross multiply
    35,964.96x = 49,631.52 × 20,049.60
  4. Step 4: Simplify right side
    35,964.96x = 995,092,123.39
  5. Step 5: Solve for x
    x = 995,092,123.39/35,964.96
  6. Step 6: Final answer
    x = 27,668.38

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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.