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Finding the Fourth Proportional to 32,013.12, 48,014.17 and 8,634.09

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Solution

The fourth proportional to 32,013.12, 48,014.17 and 8,634.09 is: 12,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.12 : 48,014.17 = 8,634.09 : x
  2. Step 2: Convert to fraction form
    32,013.12/48,014.17 = 8,634.09/x
  3. Step 3: Cross multiply
    32,013.12x = 48,014.17 × 8,634.09
  4. Step 4: Simplify right side
    32,013.12x = 414,558,823.52
  5. Step 5: Solve for x
    x = 414,558,823.52/32,013.12
  6. Step 6: Final answer
    x = 12,949.65

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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.