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Finding the Fourth Proportional to 43,357.68, 65,033.28 and 12,188.88

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Solution

The fourth proportional to 43,357.68, 65,033.28 and 12,188.88 is: 18,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,357.68 : 65,033.28 = 12,188.88 : x
  2. Step 2: Convert to fraction form
    43,357.68/65,033.28 = 12,188.88/x
  3. Step 3: Cross multiply
    43,357.68x = 65,033.28 × 12,188.88
  4. Step 4: Simplify right side
    43,357.68x = 792,682,845.93
  5. Step 5: Solve for x
    x = 792,682,845.93/43,357.68
  6. Step 6: Final answer
    x = 18,282.41

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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.