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Finding the Fourth Proportional to 32,763, 45,212.97 and 17,859

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Solution

The fourth proportional to 32,763, 45,212.97 and 17,859 is: 24,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763 : 45,212.97 = 17,859 : x
  2. Step 2: Convert to fraction form
    32,763/45,212.97 = 17,859/x
  3. Step 3: Cross multiply
    32,763x = 45,212.97 × 17,859
  4. Step 4: Simplify right side
    32,763x = 807,458,431.23
  5. Step 5: Solve for x
    x = 807,458,431.23/32,763
  6. Step 6: Final answer
    x = 24,645.44

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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.