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Finding the Fourth Proportional to 69,401.60, 104,102.40 and 31,961.60

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Solution

The fourth proportional to 69,401.60, 104,102.40 and 31,961.60 is: 47,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,401.60 : 104,102.40 = 31,961.60 : x
  2. Step 2: Convert to fraction form
    69,401.60/104,102.40 = 31,961.60/x
  3. Step 3: Cross multiply
    69,401.60x = 104,102.40 × 31,961.60
  4. Step 4: Simplify right side
    69,401.60x = 3,327,279,267.84
  5. Step 5: Solve for x
    x = 3,327,279,267.84/69,401.60
  6. Step 6: Final answer
    x = 47,942.40

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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.