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Finding the Fourth Proportional to 95,976, 132,447 and 53,537.22

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Solution

The fourth proportional to 95,976, 132,447 and 53,537.22 is: 73,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,976 : 132,447 = 53,537.22 : x
  2. Step 2: Convert to fraction form
    95,976/132,447 = 53,537.22/x
  3. Step 3: Cross multiply
    95,976x = 132,447 × 53,537.22
  4. Step 4: Simplify right side
    95,976x = 7,090,844,177.34
  5. Step 5: Solve for x
    x = 7,090,844,177.34/95,976
  6. Step 6: Final answer
    x = 73,881.43

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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.