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Finding the Fourth Proportional to 32,287.94, 48,433.76 and 11,511.44

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Solution

The fourth proportional to 32,287.94, 48,433.76 and 11,511.44 is: 17,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287.94 : 48,433.76 = 11,511.44 : x
  2. Step 2: Convert to fraction form
    32,287.94/48,433.76 = 11,511.44/x
  3. Step 3: Cross multiply
    32,287.94x = 48,433.76 × 11,511.44
  4. Step 4: Simplify right side
    32,287.94x = 557,542,322.21
  5. Step 5: Solve for x
    x = 557,542,322.21/32,287.94
  6. Step 6: Final answer
    x = 17,267.82

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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.