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Finding the Fourth Proportional to 43,811.40, 65,709.90 and 12,223.62

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Solution

The fourth proportional to 43,811.40, 65,709.90 and 12,223.62 is: 18,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,811.40 : 65,709.90 = 12,223.62 : x
  2. Step 2: Convert to fraction form
    43,811.40/65,709.90 = 12,223.62/x
  3. Step 3: Cross multiply
    43,811.40x = 65,709.90 × 12,223.62
  4. Step 4: Simplify right side
    43,811.40x = 803,212,847.84
  5. Step 5: Solve for x
    x = 803,212,847.84/43,811.40
  6. Step 6: Final answer
    x = 18,333.42

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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.