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Finding the Fourth Proportional to 34,521.84, 51,834.60 and 19,747.44

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Solution

The fourth proportional to 34,521.84, 51,834.60 and 19,747.44 is: 29,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,521.84 : 51,834.60 = 19,747.44 : x
  2. Step 2: Convert to fraction form
    34,521.84/51,834.60 = 19,747.44/x
  3. Step 3: Cross multiply
    34,521.84x = 51,834.60 × 19,747.44
  4. Step 4: Simplify right side
    34,521.84x = 1,023,600,653.42
  5. Step 5: Solve for x
    x = 1,023,600,653.42/34,521.84
  6. Step 6: Final answer
    x = 29,650.81

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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.