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Finding the Fourth Proportional to 32,272.05, 48,406.76 and 11,216.87

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Solution

The fourth proportional to 32,272.05, 48,406.76 and 11,216.87 is: 16,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272.05 : 48,406.76 = 11,216.87 : x
  2. Step 2: Convert to fraction form
    32,272.05/48,406.76 = 11,216.87/x
  3. Step 3: Cross multiply
    32,272.05x = 48,406.76 × 11,216.87
  4. Step 4: Simplify right side
    32,272.05x = 542,972,334.04
  5. Step 5: Solve for x
    x = 542,972,334.04/32,272.05
  6. Step 6: Final answer
    x = 16,824.85

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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.