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Finding the Fourth Proportional to 35,629.20, 49,169.07 and 19,714.77

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Solution

The fourth proportional to 35,629.20, 49,169.07 and 19,714.77 is: 27,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,629.20 : 49,169.07 = 19,714.77 : x
  2. Step 2: Convert to fraction form
    35,629.20/49,169.07 = 19,714.77/x
  3. Step 3: Cross multiply
    35,629.20x = 49,169.07 × 19,714.77
  4. Step 4: Simplify right side
    35,629.20x = 969,356,906.16
  5. Step 5: Solve for x
    x = 969,356,906.16/35,629.20
  6. Step 6: Final answer
    x = 27,206.81

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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.