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Finding the Fourth Proportional to 41,204, 61,803.12 and 21,493.68

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Solution

The fourth proportional to 41,204, 61,803.12 and 21,493.68 is: 32,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204 : 61,803.12 = 21,493.68 : x
  2. Step 2: Convert to fraction form
    41,204/61,803.12 = 21,493.68/x
  3. Step 3: Cross multiply
    41,204x = 61,803.12 × 21,493.68
  4. Step 4: Simplify right side
    41,204x = 1,328,376,484.28
  5. Step 5: Solve for x
    x = 1,328,376,484.28/41,204
  6. Step 6: Final answer
    x = 32,239.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.