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Finding the Fourth Proportional to 38,046.15, 57,077.01 and 13,082.95

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Solution

The fourth proportional to 38,046.15, 57,077.01 and 13,082.95 is: 19,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.15 : 57,077.01 = 13,082.95 : x
  2. Step 2: Convert to fraction form
    38,046.15/57,077.01 = 13,082.95/x
  3. Step 3: Cross multiply
    38,046.15x = 57,077.01 × 13,082.95
  4. Step 4: Simplify right side
    38,046.15x = 746,735,745.26
  5. Step 5: Solve for x
    x = 746,735,745.26/38,046.15
  6. Step 6: Final answer
    x = 19,627.11

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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.