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Finding the Fourth Proportional to 41,600.40, 62,408.70 and 12,019.20

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Solution

The fourth proportional to 41,600.40, 62,408.70 and 12,019.20 is: 18,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,600.40 : 62,408.70 = 12,019.20 : x
  2. Step 2: Convert to fraction form
    41,600.40/62,408.70 = 12,019.20/x
  3. Step 3: Cross multiply
    41,600.40x = 62,408.70 × 12,019.20
  4. Step 4: Simplify right side
    41,600.40x = 750,102,647.04
  5. Step 5: Solve for x
    x = 750,102,647.04/41,600.40
  6. Step 6: Final answer
    x = 18,031.14

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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.