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Finding the Fourth Proportional to 32,178.96, 48,202.02 and 23,868.36

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Solution

The fourth proportional to 32,178.96, 48,202.02 and 23,868.36 is: 35,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.96 : 48,202.02 = 23,868.36 : x
  2. Step 2: Convert to fraction form
    32,178.96/48,202.02 = 23,868.36/x
  3. Step 3: Cross multiply
    32,178.96x = 48,202.02 × 23,868.36
  4. Step 4: Simplify right side
    32,178.96x = 1,150,503,166.09
  5. Step 5: Solve for x
    x = 1,150,503,166.09/32,178.96
  6. Step 6: Final answer
    x = 35,753.27

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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.