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Finding the Fourth Proportional to 55,846, 77,067.48 and 30,694.96

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Solution

The fourth proportional to 55,846, 77,067.48 and 30,694.96 is: 42,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846 : 77,067.48 = 30,694.96 : x
  2. Step 2: Convert to fraction form
    55,846/77,067.48 = 30,694.96/x
  3. Step 3: Cross multiply
    55,846x = 77,067.48 × 30,694.96
  4. Step 4: Simplify right side
    55,846x = 2,365,583,215.90
  5. Step 5: Solve for x
    x = 2,365,583,215.90/55,846
  6. Step 6: Final answer
    x = 42,359.04

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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.