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Finding the Fourth Proportional to 73,815.73, 101,871.35 and 41,982.73

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Solution

The fourth proportional to 73,815.73, 101,871.35 and 41,982.73 is: 57,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,815.73 : 101,871.35 = 41,982.73 : x
  2. Step 2: Convert to fraction form
    73,815.73/101,871.35 = 41,982.73/x
  3. Step 3: Cross multiply
    73,815.73x = 101,871.35 × 41,982.73
  4. Step 4: Simplify right side
    73,815.73x = 4,276,837,381.79
  5. Step 5: Solve for x
    x = 4,276,837,381.79/73,815.73
  6. Step 6: Final answer
    x = 57,939.38

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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.