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Finding the Fourth Proportional to 32,009.67, 48,014.46 and 11,233.17

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Solution

The fourth proportional to 32,009.67, 48,014.46 and 11,233.17 is: 16,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.67 : 48,014.46 = 11,233.17 : x
  2. Step 2: Convert to fraction form
    32,009.67/48,014.46 = 11,233.17/x
  3. Step 3: Cross multiply
    32,009.67x = 48,014.46 × 11,233.17
  4. Step 4: Simplify right side
    32,009.67x = 539,354,591.64
  5. Step 5: Solve for x
    x = 539,354,591.64/32,009.67
  6. Step 6: Final answer
    x = 16,849.74

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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.