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Finding the Fourth Proportional to 57,504, 86,256 and 15,951

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Solution

The fourth proportional to 57,504, 86,256 and 15,951 is: 23,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,504 : 86,256 = 15,951 : x
  2. Step 2: Convert to fraction form
    57,504/86,256 = 15,951/x
  3. Step 3: Cross multiply
    57,504x = 86,256 × 15,951
  4. Step 4: Simplify right side
    57,504x = 1,375,869,456
  5. Step 5: Solve for x
    x = 1,375,869,456/57,504
  6. Step 6: Final answer
    x = 23,926.50

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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.