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Finding the Fourth Proportional to 30,773.70, 46,160.76 and 11,052.44

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Solution

The fourth proportional to 30,773.70, 46,160.76 and 11,052.44 is: 16,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.70 : 46,160.76 = 11,052.44 : x
  2. Step 2: Convert to fraction form
    30,773.70/46,160.76 = 11,052.44/x
  3. Step 3: Cross multiply
    30,773.70x = 46,160.76 × 11,052.44
  4. Step 4: Simplify right side
    30,773.70x = 510,188,799.45
  5. Step 5: Solve for x
    x = 510,188,799.45/30,773.70
  6. Step 6: Final answer
    x = 16,578.73

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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.