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Finding the Fourth Proportional to 47,653.50, 71,480.25 and 32,645.82

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Solution

The fourth proportional to 47,653.50, 71,480.25 and 32,645.82 is: 48,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,653.50 : 71,480.25 = 32,645.82 : x
  2. Step 2: Convert to fraction form
    47,653.50/71,480.25 = 32,645.82/x
  3. Step 3: Cross multiply
    47,653.50x = 71,480.25 × 32,645.82
  4. Step 4: Simplify right side
    47,653.50x = 2,333,531,375.06
  5. Step 5: Solve for x
    x = 2,333,531,375.06/47,653.50
  6. Step 6: Final answer
    x = 48,968.73

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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.