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Finding the Fourth Proportional to 45,770, 63,163.56 and 25,898

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Solution

The fourth proportional to 45,770, 63,163.56 and 25,898 is: 35,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770 : 63,163.56 = 25,898 : x
  2. Step 2: Convert to fraction form
    45,770/63,163.56 = 25,898/x
  3. Step 3: Cross multiply
    45,770x = 63,163.56 × 25,898
  4. Step 4: Simplify right side
    45,770x = 1,635,809,876.88
  5. Step 5: Solve for x
    x = 1,635,809,876.88/45,770
  6. Step 6: Final answer
    x = 35,739.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.