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Finding the Fourth Proportional to 32,082.14, 48,076.23 and 18,069.48

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Solution

The fourth proportional to 32,082.14, 48,076.23 and 18,069.48 is: 27,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.14 : 48,076.23 = 18,069.48 : x
  2. Step 2: Convert to fraction form
    32,082.14/48,076.23 = 18,069.48/x
  3. Step 3: Cross multiply
    32,082.14x = 48,076.23 × 18,069.48
  4. Step 4: Simplify right side
    32,082.14x = 868,712,544.22
  5. Step 5: Solve for x
    x = 868,712,544.22/32,082.14
  6. Step 6: Final answer
    x = 27,077.76

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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.