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Finding the Fourth Proportional to 29,755.55, 41,062.66 and 17,009

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Solution

The fourth proportional to 29,755.55, 41,062.66 and 17,009 is: 23,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755.55 : 41,062.66 = 17,009 : x
  2. Step 2: Convert to fraction form
    29,755.55/41,062.66 = 17,009/x
  3. Step 3: Cross multiply
    29,755.55x = 41,062.66 × 17,009
  4. Step 4: Simplify right side
    29,755.55x = 698,434,783.94
  5. Step 5: Solve for x
    x = 698,434,783.94/29,755.55
  6. Step 6: Final answer
    x = 23,472.42

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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.