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Finding the Fourth Proportional to 40,103.84, 60,161.60 and 12,404

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Solution

The fourth proportional to 40,103.84, 60,161.60 and 12,404 is: 18,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,103.84 : 60,161.60 = 12,404 : x
  2. Step 2: Convert to fraction form
    40,103.84/60,161.60 = 12,404/x
  3. Step 3: Cross multiply
    40,103.84x = 60,161.60 × 12,404
  4. Step 4: Simplify right side
    40,103.84x = 746,244,486.40
  5. Step 5: Solve for x
    x = 746,244,486.40/40,103.84
  6. Step 6: Final answer
    x = 18,607.81

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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.