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Finding the Fourth Proportional to 73,896.72, 102,062.36 and 53,843.28

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Solution

The fourth proportional to 73,896.72, 102,062.36 and 53,843.28 is: 74,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896.72 : 102,062.36 = 53,843.28 : x
  2. Step 2: Convert to fraction form
    73,896.72/102,062.36 = 53,843.28/x
  3. Step 3: Cross multiply
    73,896.72x = 102,062.36 × 53,843.28
  4. Step 4: Simplify right side
    73,896.72x = 5,495,372,226.94
  5. Step 5: Solve for x
    x = 5,495,372,226.94/73,896.72
  6. Step 6: Final answer
    x = 74,365.58

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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.