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Finding the Fourth Proportional to 55,067.50, 75,993.15 and 29,917

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Solution

The fourth proportional to 55,067.50, 75,993.15 and 29,917 is: 41,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,067.50 : 75,993.15 = 29,917 : x
  2. Step 2: Convert to fraction form
    55,067.50/75,993.15 = 29,917/x
  3. Step 3: Cross multiply
    55,067.50x = 75,993.15 × 29,917
  4. Step 4: Simplify right side
    55,067.50x = 2,273,487,068.55
  5. Step 5: Solve for x
    x = 2,273,487,068.55/55,067.50
  6. Step 6: Final answer
    x = 41,285.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.