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Finding the Fourth Proportional to 27,165.46, 40,731.72 and 10,511.46

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Solution

The fourth proportional to 27,165.46, 40,731.72 and 10,511.46 is: 15,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.46 : 40,731.72 = 10,511.46 : x
  2. Step 2: Convert to fraction form
    27,165.46/40,731.72 = 10,511.46/x
  3. Step 3: Cross multiply
    27,165.46x = 40,731.72 × 10,511.46
  4. Step 4: Simplify right side
    27,165.46x = 428,149,845.51
  5. Step 5: Solve for x
    x = 428,149,845.51/27,165.46
  6. Step 6: Final answer
    x = 15,760.82

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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.