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Finding the Fourth Proportional to 31,852.80, 47,788.80 and 17,068.80

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Solution

The fourth proportional to 31,852.80, 47,788.80 and 17,068.80 is: 25,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.80 : 47,788.80 = 17,068.80 : x
  2. Step 2: Convert to fraction form
    31,852.80/47,788.80 = 17,068.80/x
  3. Step 3: Cross multiply
    31,852.80x = 47,788.80 × 17,068.80
  4. Step 4: Simplify right side
    31,852.80x = 815,697,469.44
  5. Step 5: Solve for x
    x = 815,697,469.44/31,852.80
  6. Step 6: Final answer
    x = 25,608.34

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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.