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Finding the Fourth Proportional to 34,641.30, 47,794.10 and 21,198.54

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Solution

The fourth proportional to 34,641.30, 47,794.10 and 21,198.54 is: 29,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.30 : 47,794.10 = 21,198.54 : x
  2. Step 2: Convert to fraction form
    34,641.30/47,794.10 = 21,198.54/x
  3. Step 3: Cross multiply
    34,641.30x = 47,794.10 × 21,198.54
  4. Step 4: Simplify right side
    34,641.30x = 1,013,165,140.61
  5. Step 5: Solve for x
    x = 1,013,165,140.61/34,641.30
  6. Step 6: Final answer
    x = 29,247.32

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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.