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Finding the Fourth Proportional to 27,042.06, 40,464.41 and 15,954.06

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Solution

The fourth proportional to 27,042.06, 40,464.41 and 15,954.06 is: 23,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.06 : 40,464.41 = 15,954.06 : x
  2. Step 2: Convert to fraction form
    27,042.06/40,464.41 = 15,954.06/x
  3. Step 3: Cross multiply
    27,042.06x = 40,464.41 × 15,954.06
  4. Step 4: Simplify right side
    27,042.06x = 645,571,625.00
  5. Step 5: Solve for x
    x = 645,571,625.00/27,042.06
  6. Step 6: Final answer
    x = 23,872.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.