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Finding the Fourth Proportional to 32,103.78, 44,302.17 and 17,763.44

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Solution

The fourth proportional to 32,103.78, 44,302.17 and 17,763.44 is: 24,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.78 : 44,302.17 = 17,763.44 : x
  2. Step 2: Convert to fraction form
    32,103.78/44,302.17 = 17,763.44/x
  3. Step 3: Cross multiply
    32,103.78x = 44,302.17 × 17,763.44
  4. Step 4: Simplify right side
    32,103.78x = 786,958,783.77
  5. Step 5: Solve for x
    x = 786,958,783.77/32,103.78
  6. Step 6: Final answer
    x = 24,512.97

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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.