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Finding the Fourth Proportional to 53,092.56, 73,237.26 and 33,186

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Solution

The fourth proportional to 53,092.56, 73,237.26 and 33,186 is: 45,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,092.56 : 73,237.26 = 33,186 : x
  2. Step 2: Convert to fraction form
    53,092.56/73,237.26 = 33,186/x
  3. Step 3: Cross multiply
    53,092.56x = 73,237.26 × 33,186
  4. Step 4: Simplify right side
    53,092.56x = 2,430,451,710.36
  5. Step 5: Solve for x
    x = 2,430,451,710.36/53,092.56
  6. Step 6: Final answer
    x = 45,777.63

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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.