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Finding the Fourth Proportional to 56,644.50, 84,961.23 and 17,201.96

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Solution

The fourth proportional to 56,644.50, 84,961.23 and 17,201.96 is: 25,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.50 : 84,961.23 = 17,201.96 : x
  2. Step 2: Convert to fraction form
    56,644.50/84,961.23 = 17,201.96/x
  3. Step 3: Cross multiply
    56,644.50x = 84,961.23 × 17,201.96
  4. Step 4: Simplify right side
    56,644.50x = 1,461,499,255.20
  5. Step 5: Solve for x
    x = 1,461,499,255.20/56,644.50
  6. Step 6: Final answer
    x = 25,801.26

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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.