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Finding the Fourth Proportional to 52,661.26, 72,662.38 and 29,999.76

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Solution

The fourth proportional to 52,661.26, 72,662.38 and 29,999.76 is: 41,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,661.26 : 72,662.38 = 29,999.76 : x
  2. Step 2: Convert to fraction form
    52,661.26/72,662.38 = 29,999.76/x
  3. Step 3: Cross multiply
    52,661.26x = 72,662.38 × 29,999.76
  4. Step 4: Simplify right side
    52,661.26x = 2,179,853,961.03
  5. Step 5: Solve for x
    x = 2,179,853,961.03/52,661.26
  6. Step 6: Final answer
    x = 41,393.88

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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.