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Finding the Fourth Proportional to 43,432.83, 65,163.83 and 13,854.87

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Solution

The fourth proportional to 43,432.83, 65,163.83 and 13,854.87 is: 20,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,432.83 : 65,163.83 = 13,854.87 : x
  2. Step 2: Convert to fraction form
    43,432.83/65,163.83 = 13,854.87/x
  3. Step 3: Cross multiply
    43,432.83x = 65,163.83 × 13,854.87
  4. Step 4: Simplify right side
    43,432.83x = 902,836,324.08
  5. Step 5: Solve for x
    x = 902,836,324.08/43,432.83
  6. Step 6: Final answer
    x = 20,786.96

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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.