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Finding the Fourth Proportional to 37,294.26, 55,890.24 and 19,729

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Solution

The fourth proportional to 37,294.26, 55,890.24 and 19,729 is: 29,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,294.26 : 55,890.24 = 19,729 : x
  2. Step 2: Convert to fraction form
    37,294.26/55,890.24 = 19,729/x
  3. Step 3: Cross multiply
    37,294.26x = 55,890.24 × 19,729
  4. Step 4: Simplify right side
    37,294.26x = 1,102,658,544.96
  5. Step 5: Solve for x
    x = 1,102,658,544.96/37,294.26
  6. Step 6: Final answer
    x = 29,566.44

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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.