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Finding the Fourth Proportional to 31,841.98, 47,762.92 and 8,468.42

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Solution

The fourth proportional to 31,841.98, 47,762.92 and 8,468.42 is: 12,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.98 : 47,762.92 = 8,468.42 : x
  2. Step 2: Convert to fraction form
    31,841.98/47,762.92 = 8,468.42/x
  3. Step 3: Cross multiply
    31,841.98x = 47,762.92 × 8,468.42
  4. Step 4: Simplify right side
    31,841.98x = 404,476,191.12
  5. Step 5: Solve for x
    x = 404,476,191.12/31,841.98
  6. Step 6: Final answer
    x = 12,702.61

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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.