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Finding the Fourth Proportional to 31,200.80, 43,057.04 and 17,772.05

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Solution

The fourth proportional to 31,200.80, 43,057.04 and 17,772.05 is: 24,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.80 : 43,057.04 = 17,772.05 : x
  2. Step 2: Convert to fraction form
    31,200.80/43,057.04 = 17,772.05/x
  3. Step 3: Cross multiply
    31,200.80x = 43,057.04 × 17,772.05
  4. Step 4: Simplify right side
    31,200.80x = 765,211,563.59
  5. Step 5: Solve for x
    x = 765,211,563.59/31,200.80
  6. Step 6: Final answer
    x = 24,525.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.