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Finding the Fourth Proportional to 32,001.67, 44,162.38 and 17,855.43

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Solution

The fourth proportional to 32,001.67, 44,162.38 and 17,855.43 is: 24,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.67 : 44,162.38 = 17,855.43 : x
  2. Step 2: Convert to fraction form
    32,001.67/44,162.38 = 17,855.43/x
  3. Step 3: Cross multiply
    32,001.67x = 44,162.38 × 17,855.43
  4. Step 4: Simplify right side
    32,001.67x = 788,538,284.72
  5. Step 5: Solve for x
    x = 788,538,284.72/32,001.67
  6. Step 6: Final answer
    x = 24,640.54

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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.