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Finding the Fourth Proportional to 31,352.68, 43,267.80 and 17,205.64

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Solution

The fourth proportional to 31,352.68, 43,267.80 and 17,205.64 is: 23,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.68 : 43,267.80 = 17,205.64 : x
  2. Step 2: Convert to fraction form
    31,352.68/43,267.80 = 17,205.64/x
  3. Step 3: Cross multiply
    31,352.68x = 43,267.80 × 17,205.64
  4. Step 4: Simplify right side
    31,352.68x = 744,450,190.39
  5. Step 5: Solve for x
    x = 744,450,190.39/31,352.68
  6. Step 6: Final answer
    x = 23,744.39

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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.