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Finding the Fourth Proportional to 32,057.61, 48,081.56 and 11,276.25

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Solution

The fourth proportional to 32,057.61, 48,081.56 and 11,276.25 is: 16,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.61 : 48,081.56 = 11,276.25 : x
  2. Step 2: Convert to fraction form
    32,057.61/48,081.56 = 11,276.25/x
  3. Step 3: Cross multiply
    32,057.61x = 48,081.56 × 11,276.25
  4. Step 4: Simplify right side
    32,057.61x = 542,179,634.57
  5. Step 5: Solve for x
    x = 542,179,634.57/32,057.61
  6. Step 6: Final answer
    x = 16,912.67

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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.