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Finding the Fourth Proportional to 38,035.64, 57,059.10 and 13,082.12

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Solution

The fourth proportional to 38,035.64, 57,059.10 and 13,082.12 is: 19,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,035.64 : 57,059.10 = 13,082.12 : x
  2. Step 2: Convert to fraction form
    38,035.64/57,059.10 = 13,082.12/x
  3. Step 3: Cross multiply
    38,035.64x = 57,059.10 × 13,082.12
  4. Step 4: Simplify right side
    38,035.64x = 746,453,993.29
  5. Step 5: Solve for x
    x = 746,453,993.29/38,035.64
  6. Step 6: Final answer
    x = 19,625.12

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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.