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Finding the Fourth Proportional to 35,949.64, 49,609.92 and 20,033.68

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Solution

The fourth proportional to 35,949.64, 49,609.92 and 20,033.68 is: 27,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949.64 : 49,609.92 = 20,033.68 : x
  2. Step 2: Convert to fraction form
    35,949.64/49,609.92 = 20,033.68/x
  3. Step 3: Cross multiply
    35,949.64x = 49,609.92 × 20,033.68
  4. Step 4: Simplify right side
    35,949.64x = 993,869,262.11
  5. Step 5: Solve for x
    x = 993,869,262.11/35,949.64
  6. Step 6: Final answer
    x = 27,646.15

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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.