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Finding the Fourth Proportional to 32,969.27, 49,453.75 and 11,909.30

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Solution

The fourth proportional to 32,969.27, 49,453.75 and 11,909.30 is: 17,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.27 : 49,453.75 = 11,909.30 : x
  2. Step 2: Convert to fraction form
    32,969.27/49,453.75 = 11,909.30/x
  3. Step 3: Cross multiply
    32,969.27x = 49,453.75 × 11,909.30
  4. Step 4: Simplify right side
    32,969.27x = 588,959,544.88
  5. Step 5: Solve for x
    x = 588,959,544.88/32,969.27
  6. Step 6: Final answer
    x = 17,863.89

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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.