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Finding the Fourth Proportional to 37,966, 56,954.46 and 11,672.96

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Solution

The fourth proportional to 37,966, 56,954.46 and 11,672.96 is: 17,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966 : 56,954.46 = 11,672.96 : x
  2. Step 2: Convert to fraction form
    37,966/56,954.46 = 11,672.96/x
  3. Step 3: Cross multiply
    37,966x = 56,954.46 × 11,672.96
  4. Step 4: Simplify right side
    37,966x = 664,827,133.40
  5. Step 5: Solve for x
    x = 664,827,133.40/37,966
  6. Step 6: Final answer
    x = 17,511.12

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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.