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Finding the Fourth Proportional to 32,949.40, 49,427.70 and 31,912.60

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Solution

The fourth proportional to 32,949.40, 49,427.70 and 31,912.60 is: 47,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949.40 : 49,427.70 = 31,912.60 : x
  2. Step 2: Convert to fraction form
    32,949.40/49,427.70 = 31,912.60/x
  3. Step 3: Cross multiply
    32,949.40x = 49,427.70 × 31,912.60
  4. Step 4: Simplify right side
    32,949.40x = 1,577,366,419.02
  5. Step 5: Solve for x
    x = 1,577,366,419.02/32,949.40
  6. Step 6: Final answer
    x = 47,872.39

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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.