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Finding the Fourth Proportional to 32,152.44, 48,228.67 and 13,422.26

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Solution

The fourth proportional to 32,152.44, 48,228.67 and 13,422.26 is: 20,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.44 : 48,228.67 = 13,422.26 : x
  2. Step 2: Convert to fraction form
    32,152.44/48,228.67 = 13,422.26/x
  3. Step 3: Cross multiply
    32,152.44x = 48,228.67 × 13,422.26
  4. Step 4: Simplify right side
    32,152.44x = 647,337,439.94
  5. Step 5: Solve for x
    x = 647,337,439.94/32,152.44
  6. Step 6: Final answer
    x = 20,133.38

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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.