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Finding the Fourth Proportional to 49,270, 67,992.60 and 26,914

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Solution

The fourth proportional to 49,270, 67,992.60 and 26,914 is: 37,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270 : 67,992.60 = 26,914 : x
  2. Step 2: Convert to fraction form
    49,270/67,992.60 = 26,914/x
  3. Step 3: Cross multiply
    49,270x = 67,992.60 × 26,914
  4. Step 4: Simplify right side
    49,270x = 1,829,952,836.40
  5. Step 5: Solve for x
    x = 1,829,952,836.40/49,270
  6. Step 6: Final answer
    x = 37,141.32

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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.