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Finding the Fourth Proportional to 44,193.16, 66,287.58 and 16,489

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Solution

The fourth proportional to 44,193.16, 66,287.58 and 16,489 is: 24,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,193.16 : 66,287.58 = 16,489 : x
  2. Step 2: Convert to fraction form
    44,193.16/66,287.58 = 16,489/x
  3. Step 3: Cross multiply
    44,193.16x = 66,287.58 × 16,489
  4. Step 4: Simplify right side
    44,193.16x = 1,093,015,906.62
  5. Step 5: Solve for x
    x = 1,093,015,906.62/44,193.16
  6. Step 6: Final answer
    x = 24,732.69

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Why These Related Problems?

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