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Finding the Fourth Proportional to 31,883.40, 47,821.44 and 8,508

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Solution

The fourth proportional to 31,883.40, 47,821.44 and 8,508 is: 12,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.40 : 47,821.44 = 8,508 : x
  2. Step 2: Convert to fraction form
    31,883.40/47,821.44 = 8,508/x
  3. Step 3: Cross multiply
    31,883.40x = 47,821.44 × 8,508
  4. Step 4: Simplify right side
    31,883.40x = 406,864,811.52
  5. Step 5: Solve for x
    x = 406,864,811.52/31,883.40
  6. Step 6: Final answer
    x = 12,761.02

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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.