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Finding the Fourth Proportional to 43,725, 65,601.33 and 15,644.43

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Solution

The fourth proportional to 43,725, 65,601.33 and 15,644.43 is: 23,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,725 : 65,601.33 = 15,644.43 : x
  2. Step 2: Convert to fraction form
    43,725/65,601.33 = 15,644.43/x
  3. Step 3: Cross multiply
    43,725x = 65,601.33 × 15,644.43
  4. Step 4: Simplify right side
    43,725x = 1,026,295,415.09
  5. Step 5: Solve for x
    x = 1,026,295,415.09/43,725
  6. Step 6: Final answer
    x = 23,471.59

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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.