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Finding the Fourth Proportional to 52,105.46, 78,149.03 and 14,656.64

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Solution

The fourth proportional to 52,105.46, 78,149.03 and 14,656.64 is: 21,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.46 : 78,149.03 = 14,656.64 : x
  2. Step 2: Convert to fraction form
    52,105.46/78,149.03 = 14,656.64/x
  3. Step 3: Cross multiply
    52,105.46x = 78,149.03 × 14,656.64
  4. Step 4: Simplify right side
    52,105.46x = 1,145,401,735.03
  5. Step 5: Solve for x
    x = 1,145,401,735.03/52,105.46
  6. Step 6: Final answer
    x = 21,982.38

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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.