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Finding the Fourth Proportional to 32,027.94, 48,049.50 and 10,968.24

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Solution

The fourth proportional to 32,027.94, 48,049.50 and 10,968.24 is: 16,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.94 : 48,049.50 = 10,968.24 : x
  2. Step 2: Convert to fraction form
    32,027.94/48,049.50 = 10,968.24/x
  3. Step 3: Cross multiply
    32,027.94x = 48,049.50 × 10,968.24
  4. Step 4: Simplify right side
    32,027.94x = 527,018,447.88
  5. Step 5: Solve for x
    x = 527,018,447.88/32,027.94
  6. Step 6: Final answer
    x = 16,454.96

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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.