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Finding the Fourth Proportional to 73,860.96, 101,876.40 and 49,977.12

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Solution

The fourth proportional to 73,860.96, 101,876.40 and 49,977.12 is: 68,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,860.96 : 101,876.40 = 49,977.12 : x
  2. Step 2: Convert to fraction form
    73,860.96/101,876.40 = 49,977.12/x
  3. Step 3: Cross multiply
    73,860.96x = 101,876.40 × 49,977.12
  4. Step 4: Simplify right side
    73,860.96x = 5,091,489,067.97
  5. Step 5: Solve for x
    x = 5,091,489,067.97/73,860.96
  6. Step 6: Final answer
    x = 68,933.43

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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.