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Finding the Fourth Proportional to 32,105.82, 44,302.23 and 17,763.75

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Solution

The fourth proportional to 32,105.82, 44,302.23 and 17,763.75 is: 24,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.82 : 44,302.23 = 17,763.75 : x
  2. Step 2: Convert to fraction form
    32,105.82/44,302.23 = 17,763.75/x
  3. Step 3: Cross multiply
    32,105.82x = 44,302.23 × 17,763.75
  4. Step 4: Simplify right side
    32,105.82x = 786,973,738.16
  5. Step 5: Solve for x
    x = 786,973,738.16/32,105.82
  6. Step 6: Final answer
    x = 24,511.87

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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.