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Finding the Fourth Proportional to 32,294.12, 48,438.14 and 11,229.06

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Solution

The fourth proportional to 32,294.12, 48,438.14 and 11,229.06 is: 16,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294.12 : 48,438.14 = 11,229.06 : x
  2. Step 2: Convert to fraction form
    32,294.12/48,438.14 = 11,229.06/x
  3. Step 3: Cross multiply
    32,294.12x = 48,438.14 × 11,229.06
  4. Step 4: Simplify right side
    32,294.12x = 543,914,780.35
  5. Step 5: Solve for x
    x = 543,914,780.35/32,294.12
  6. Step 6: Final answer
    x = 16,842.53

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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.