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Finding the Fourth Proportional to 31,914.35, 47,871.49 and 8,540.18

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Solution

The fourth proportional to 31,914.35, 47,871.49 and 8,540.18 is: 12,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.35 : 47,871.49 = 8,540.18 : x
  2. Step 2: Convert to fraction form
    31,914.35/47,871.49 = 8,540.18/x
  3. Step 3: Cross multiply
    31,914.35x = 47,871.49 × 8,540.18
  4. Step 4: Simplify right side
    31,914.35x = 408,831,141.47
  5. Step 5: Solve for x
    x = 408,831,141.47/31,914.35
  6. Step 6: Final answer
    x = 12,810.26

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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.