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Finding the Fourth Proportional to 32,104.80, 48,397.82 and 29,963.97

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Solution

The fourth proportional to 32,104.80, 48,397.82 and 29,963.97 is: 45,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.80 : 48,397.82 = 29,963.97 : x
  2. Step 2: Convert to fraction form
    32,104.80/48,397.82 = 29,963.97/x
  3. Step 3: Cross multiply
    32,104.80x = 48,397.82 × 29,963.97
  4. Step 4: Simplify right side
    32,104.80x = 1,450,190,676.73
  5. Step 5: Solve for x
    x = 1,450,190,676.73/32,104.80
  6. Step 6: Final answer
    x = 45,170.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.