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Finding the Fourth Proportional to 47,537.28, 71,286.76 and 17,939

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Solution

The fourth proportional to 47,537.28, 71,286.76 and 17,939 is: 26,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537.28 : 71,286.76 = 17,939 : x
  2. Step 2: Convert to fraction form
    47,537.28/71,286.76 = 17,939/x
  3. Step 3: Cross multiply
    47,537.28x = 71,286.76 × 17,939
  4. Step 4: Simplify right side
    47,537.28x = 1,278,813,187.64
  5. Step 5: Solve for x
    x = 1,278,813,187.64/47,537.28
  6. Step 6: Final answer
    x = 26,901.27

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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.