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Finding the Fourth Proportional to 32,052.09, 48,078.17 and 8,359.61

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Solution

The fourth proportional to 32,052.09, 48,078.17 and 8,359.61 is: 12,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052.09 : 48,078.17 = 8,359.61 : x
  2. Step 2: Convert to fraction form
    32,052.09/48,078.17 = 8,359.61/x
  3. Step 3: Cross multiply
    32,052.09x = 48,078.17 × 8,359.61
  4. Step 4: Simplify right side
    32,052.09x = 401,914,750.71
  5. Step 5: Solve for x
    x = 401,914,750.71/32,052.09
  6. Step 6: Final answer
    x = 12,539.42

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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.