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Finding the Fourth Proportional to 32,202.26, 44,439.52 and 17,862.42

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Solution

The fourth proportional to 32,202.26, 44,439.52 and 17,862.42 is: 24,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.26 : 44,439.52 = 17,862.42 : x
  2. Step 2: Convert to fraction form
    32,202.26/44,439.52 = 17,862.42/x
  3. Step 3: Cross multiply
    32,202.26x = 44,439.52 × 17,862.42
  4. Step 4: Simplify right side
    32,202.26x = 793,797,370.84
  5. Step 5: Solve for x
    x = 793,797,370.84/32,202.26
  6. Step 6: Final answer
    x = 24,650.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.