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Finding the Fourth Proportional to 34,005.93, 50,958.67 and 16,454.85

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Solution

The fourth proportional to 34,005.93, 50,958.67 and 16,454.85 is: 24,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.93 : 50,958.67 = 16,454.85 : x
  2. Step 2: Convert to fraction form
    34,005.93/50,958.67 = 16,454.85/x
  3. Step 3: Cross multiply
    34,005.93x = 50,958.67 × 16,454.85
  4. Step 4: Simplify right side
    34,005.93x = 838,517,271.05
  5. Step 5: Solve for x
    x = 838,517,271.05/34,005.93
  6. Step 6: Final answer
    x = 24,657.97

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