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Finding the Fourth Proportional to 30,340.48, 41,872 and 16,912.64

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Solution

The fourth proportional to 30,340.48, 41,872 and 16,912.64 is: 23,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,340.48 : 41,872 = 16,912.64 : x
  2. Step 2: Convert to fraction form
    30,340.48/41,872 = 16,912.64/x
  3. Step 3: Cross multiply
    30,340.48x = 41,872 × 16,912.64
  4. Step 4: Simplify right side
    30,340.48x = 708,166,062.08
  5. Step 5: Solve for x
    x = 708,166,062.08/30,340.48
  6. Step 6: Final answer
    x = 23,340.63

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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.