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Finding the Fourth Proportional to 32,274.40, 48,409.52 and 11,209.44

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Solution

The fourth proportional to 32,274.40, 48,409.52 and 11,209.44 is: 16,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.40 : 48,409.52 = 11,209.44 : x
  2. Step 2: Convert to fraction form
    32,274.40/48,409.52 = 11,209.44/x
  3. Step 3: Cross multiply
    32,274.40x = 48,409.52 × 11,209.44
  4. Step 4: Simplify right side
    32,274.40x = 542,643,609.87
  5. Step 5: Solve for x
    x = 542,643,609.87/32,274.40
  6. Step 6: Final answer
    x = 16,813.44

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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.