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Finding the Fourth Proportional to 32,286.94, 48,432.26 and 11,510.44

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Solution

The fourth proportional to 32,286.94, 48,432.26 and 11,510.44 is: 17,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.94 : 48,432.26 = 11,510.44 : x
  2. Step 2: Convert to fraction form
    32,286.94/48,432.26 = 11,510.44/x
  3. Step 3: Cross multiply
    32,286.94x = 48,432.26 × 11,510.44
  4. Step 4: Simplify right side
    32,286.94x = 557,476,530.49
  5. Step 5: Solve for x
    x = 557,476,530.49/32,286.94
  6. Step 6: Final answer
    x = 17,266.32

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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.