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Finding the Fourth Proportional to 35,964, 49,629.78 and 20,049.39

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Solution

The fourth proportional to 35,964, 49,629.78 and 20,049.39 is: 27,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964 : 49,629.78 = 20,049.39 : x
  2. Step 2: Convert to fraction form
    35,964/49,629.78 = 20,049.39/x
  3. Step 3: Cross multiply
    35,964x = 49,629.78 × 20,049.39
  4. Step 4: Simplify right side
    35,964x = 995,046,814.83
  5. Step 5: Solve for x
    x = 995,046,814.83/35,964
  6. Step 6: Final answer
    x = 27,667.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.