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Finding the Fourth Proportional to 34,216.56, 51,311.76 and 16,442.25

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Solution

The fourth proportional to 34,216.56, 51,311.76 and 16,442.25 is: 24,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216.56 : 51,311.76 = 16,442.25 : x
  2. Step 2: Convert to fraction form
    34,216.56/51,311.76 = 16,442.25/x
  3. Step 3: Cross multiply
    34,216.56x = 51,311.76 × 16,442.25
  4. Step 4: Simplify right side
    34,216.56x = 843,680,785.86
  5. Step 5: Solve for x
    x = 843,680,785.86/34,216.56
  6. Step 6: Final answer
    x = 24,657.09

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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.