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Finding the Fourth Proportional to 27,138.12, 40,765.49 and 20,139.72

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Solution

The fourth proportional to 27,138.12, 40,765.49 and 20,139.72 is: 30,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.12 : 40,765.49 = 20,139.72 : x
  2. Step 2: Convert to fraction form
    27,138.12/40,765.49 = 20,139.72/x
  3. Step 3: Cross multiply
    27,138.12x = 40,765.49 × 20,139.72
  4. Step 4: Simplify right side
    27,138.12x = 821,005,554.26
  5. Step 5: Solve for x
    x = 821,005,554.26/27,138.12
  6. Step 6: Final answer
    x = 30,252.85

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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.