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Finding the Fourth Proportional to 32,194.43, 44,429.75 and 17,853.30

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Solution

The fourth proportional to 32,194.43, 44,429.75 and 17,853.30 is: 24,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.43 : 44,429.75 = 17,853.30 : x
  2. Step 2: Convert to fraction form
    32,194.43/44,429.75 = 17,853.30/x
  3. Step 3: Cross multiply
    32,194.43x = 44,429.75 × 17,853.30
  4. Step 4: Simplify right side
    32,194.43x = 793,217,611.04
  5. Step 5: Solve for x
    x = 793,217,611.04/32,194.43
  6. Step 6: Final answer
    x = 24,638.35

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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.