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Finding the Fourth Proportional to 51,906.84, 71,631.56 and 30,107.32

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Solution

The fourth proportional to 51,906.84, 71,631.56 and 30,107.32 is: 41,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.84 : 71,631.56 = 30,107.32 : x
  2. Step 2: Convert to fraction form
    51,906.84/71,631.56 = 30,107.32/x
  3. Step 3: Cross multiply
    51,906.84x = 71,631.56 × 30,107.32
  4. Step 4: Simplify right side
    51,906.84x = 2,156,634,299.02
  5. Step 5: Solve for x
    x = 2,156,634,299.02/51,906.84
  6. Step 6: Final answer
    x = 41,548.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.