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Finding the Fourth Proportional to 32,082.45, 48,105.19 and 12,358.43

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Solution

The fourth proportional to 32,082.45, 48,105.19 and 12,358.43 is: 18,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.45 : 48,105.19 = 12,358.43 : x
  2. Step 2: Convert to fraction form
    32,082.45/48,105.19 = 12,358.43/x
  3. Step 3: Cross multiply
    32,082.45x = 48,105.19 × 12,358.43
  4. Step 4: Simplify right side
    32,082.45x = 594,504,623.25
  5. Step 5: Solve for x
    x = 594,504,623.25/32,082.45
  6. Step 6: Final answer
    x = 18,530.52

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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.