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Finding the Fourth Proportional to 65,067.73, 97,629.84 and 22,977.90

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Solution

The fourth proportional to 65,067.73, 97,629.84 and 22,977.90 is: 34,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,067.73 : 97,629.84 = 22,977.90 : x
  2. Step 2: Convert to fraction form
    65,067.73/97,629.84 = 22,977.90/x
  3. Step 3: Cross multiply
    65,067.73x = 97,629.84 × 22,977.90
  4. Step 4: Simplify right side
    65,067.73x = 2,243,328,700.54
  5. Step 5: Solve for x
    x = 2,243,328,700.54/65,067.73
  6. Step 6: Final answer
    x = 34,476.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.