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Finding the Fourth Proportional to 37,930.34, 56,896.71 and 12,969.38

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Solution

The fourth proportional to 37,930.34, 56,896.71 and 12,969.38 is: 19,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,930.34 : 56,896.71 = 12,969.38 : x
  2. Step 2: Convert to fraction form
    37,930.34/56,896.71 = 12,969.38/x
  3. Step 3: Cross multiply
    37,930.34x = 56,896.71 × 12,969.38
  4. Step 4: Simplify right side
    37,930.34x = 737,914,768.26
  5. Step 5: Solve for x
    x = 737,914,768.26/37,930.34
  6. Step 6: Final answer
    x = 19,454.48

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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.