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Finding the Fourth Proportional to 38,170.25, 52,675.26 and 21,175.60

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Solution

The fourth proportional to 38,170.25, 52,675.26 and 21,175.60 is: 29,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,170.25 : 52,675.26 = 21,175.60 : x
  2. Step 2: Convert to fraction form
    38,170.25/52,675.26 = 21,175.60/x
  3. Step 3: Cross multiply
    38,170.25x = 52,675.26 × 21,175.60
  4. Step 4: Simplify right side
    38,170.25x = 1,115,430,242.44
  5. Step 5: Solve for x
    x = 1,115,430,242.44/38,170.25
  6. Step 6: Final answer
    x = 29,222.50

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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.