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Finding the Fourth Proportional to 31,419.75, 47,129.63 and 8,046.20

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Solution

The fourth proportional to 31,419.75, 47,129.63 and 8,046.20 is: 12,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.75 : 47,129.63 = 8,046.20 : x
  2. Step 2: Convert to fraction form
    31,419.75/47,129.63 = 8,046.20/x
  3. Step 3: Cross multiply
    31,419.75x = 47,129.63 × 8,046.20
  4. Step 4: Simplify right side
    31,419.75x = 379,214,153.03
  5. Step 5: Solve for x
    x = 379,214,153.03/31,419.75
  6. Step 6: Final answer
    x = 12,069.29

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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.