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Finding the Fourth Proportional to 32,092.72, 48,142.28 and 11,029.96

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Solution

The fourth proportional to 32,092.72, 48,142.28 and 11,029.96 is: 16,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.72 : 48,142.28 = 11,029.96 : x
  2. Step 2: Convert to fraction form
    32,092.72/48,142.28 = 11,029.96/x
  3. Step 3: Cross multiply
    32,092.72x = 48,142.28 × 11,029.96
  4. Step 4: Simplify right side
    32,092.72x = 531,007,422.71
  5. Step 5: Solve for x
    x = 531,007,422.71/32,092.72
  6. Step 6: Final answer
    x = 16,546.04

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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.