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Finding the Fourth Proportional to 49,692, 74,522.10 and 16,404.60

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Solution

The fourth proportional to 49,692, 74,522.10 and 16,404.60 is: 24,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692 : 74,522.10 = 16,404.60 : x
  2. Step 2: Convert to fraction form
    49,692/74,522.10 = 16,404.60/x
  3. Step 3: Cross multiply
    49,692x = 74,522.10 × 16,404.60
  4. Step 4: Simplify right side
    49,692x = 1,222,505,241.66
  5. Step 5: Solve for x
    x = 1,222,505,241.66/49,692
  6. Step 6: Final answer
    x = 24,601.65

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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.