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Finding the Fourth Proportional to 32,380.41, 48,573.36 and 9,006.85

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Solution

The fourth proportional to 32,380.41, 48,573.36 and 9,006.85 is: 13,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380.41 : 48,573.36 = 9,006.85 : x
  2. Step 2: Convert to fraction form
    32,380.41/48,573.36 = 9,006.85/x
  3. Step 3: Cross multiply
    32,380.41x = 48,573.36 × 9,006.85
  4. Step 4: Simplify right side
    32,380.41x = 437,492,846.08
  5. Step 5: Solve for x
    x = 437,492,846.08/32,380.41
  6. Step 6: Final answer
    x = 13,511.03

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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.