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Finding the Fourth Proportional to 32,833.25, 49,249.88 and 8,209.25

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Solution

The fourth proportional to 32,833.25, 49,249.88 and 8,209.25 is: 12,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.25 : 49,249.88 = 8,209.25 : x
  2. Step 2: Convert to fraction form
    32,833.25/49,249.88 = 8,209.25/x
  3. Step 3: Cross multiply
    32,833.25x = 49,249.88 × 8,209.25
  4. Step 4: Simplify right side
    32,833.25x = 404,304,536.34
  5. Step 5: Solve for x
    x = 404,304,536.34/32,833.25
  6. Step 6: Final answer
    x = 12,313.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.