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Finding the Fourth Proportional to 49,149.18, 73,721.34 and 17,982

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Solution

The fourth proportional to 49,149.18, 73,721.34 and 17,982 is: 26,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149.18 : 73,721.34 = 17,982 : x
  2. Step 2: Convert to fraction form
    49,149.18/73,721.34 = 17,982/x
  3. Step 3: Cross multiply
    49,149.18x = 73,721.34 × 17,982
  4. Step 4: Simplify right side
    49,149.18x = 1,325,657,135.88
  5. Step 5: Solve for x
    x = 1,325,657,135.88/49,149.18
  6. Step 6: Final answer
    x = 26,972.11

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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.