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Finding the Fourth Proportional to 55,761.80, 83,634.60 and 16,314.80

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Solution

The fourth proportional to 55,761.80, 83,634.60 and 16,314.80 is: 24,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,761.80 : 83,634.60 = 16,314.80 : x
  2. Step 2: Convert to fraction form
    55,761.80/83,634.60 = 16,314.80/x
  3. Step 3: Cross multiply
    55,761.80x = 83,634.60 × 16,314.80
  4. Step 4: Simplify right side
    55,761.80x = 1,364,481,772.08
  5. Step 5: Solve for x
    x = 1,364,481,772.08/55,761.80
  6. Step 6: Final answer
    x = 24,469.83

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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.