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Finding the Fourth Proportional to 32,647, 45,053.22 and 17,743

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Solution

The fourth proportional to 32,647, 45,053.22 and 17,743 is: 24,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647 : 45,053.22 = 17,743 : x
  2. Step 2: Convert to fraction form
    32,647/45,053.22 = 17,743/x
  3. Step 3: Cross multiply
    32,647x = 45,053.22 × 17,743
  4. Step 4: Simplify right side
    32,647x = 799,379,282.46
  5. Step 5: Solve for x
    x = 799,379,282.46/32,647
  6. Step 6: Final answer
    x = 24,485.54

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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.