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Finding the Fourth Proportional to 27,137.12, 40,763.99 and 20,138.72

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Solution

The fourth proportional to 27,137.12, 40,763.99 and 20,138.72 is: 30,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.12 : 40,763.99 = 20,138.72 : x
  2. Step 2: Convert to fraction form
    27,137.12/40,763.99 = 20,138.72/x
  3. Step 3: Cross multiply
    27,137.12x = 40,763.99 × 20,138.72
  4. Step 4: Simplify right side
    27,137.12x = 820,934,276.18
  5. Step 5: Solve for x
    x = 820,934,276.18/27,137.12
  6. Step 6: Final answer
    x = 30,251.35

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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.