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Finding the Fourth Proportional to 35,835.14, 49,454.25 and 19,919.25

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Solution

The fourth proportional to 35,835.14, 49,454.25 and 19,919.25 is: 27,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,835.14 : 49,454.25 = 19,919.25 : x
  2. Step 2: Convert to fraction form
    35,835.14/49,454.25 = 19,919.25/x
  3. Step 3: Cross multiply
    35,835.14x = 49,454.25 × 19,919.25
  4. Step 4: Simplify right side
    35,835.14x = 985,091,494.62
  5. Step 5: Solve for x
    x = 985,091,494.62/35,835.14
  6. Step 6: Final answer
    x = 27,489.54

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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.