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Finding the Fourth Proportional to 32,119.96, 44,324.82 and 17,972.68

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Solution

The fourth proportional to 32,119.96, 44,324.82 and 17,972.68 is: 24,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.96 : 44,324.82 = 17,972.68 : x
  2. Step 2: Convert to fraction form
    32,119.96/44,324.82 = 17,972.68/x
  3. Step 3: Cross multiply
    32,119.96x = 44,324.82 × 17,972.68
  4. Step 4: Simplify right side
    32,119.96x = 796,635,805.92
  5. Step 5: Solve for x
    x = 796,635,805.92/32,119.96
  6. Step 6: Final answer
    x = 24,801.89

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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.