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Finding the Fourth Proportional to 32,177.96, 48,200.52 and 23,867.36

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Solution

The fourth proportional to 32,177.96, 48,200.52 and 23,867.36 is: 35,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.96 : 48,200.52 = 23,867.36 : x
  2. Step 2: Convert to fraction form
    32,177.96/48,200.52 = 23,867.36/x
  3. Step 3: Cross multiply
    32,177.96x = 48,200.52 × 23,867.36
  4. Step 4: Simplify right side
    32,177.96x = 1,150,419,163.03
  5. Step 5: Solve for x
    x = 1,150,419,163.03/32,177.96
  6. Step 6: Final answer
    x = 35,751.77

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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.