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Finding the Fourth Proportional to 82,974.20, 114,511.20 and 47,175.44

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Solution

The fourth proportional to 82,974.20, 114,511.20 and 47,175.44 is: 65,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,974.20 : 114,511.20 = 47,175.44 : x
  2. Step 2: Convert to fraction form
    82,974.20/114,511.20 = 47,175.44/x
  3. Step 3: Cross multiply
    82,974.20x = 114,511.20 × 47,175.44
  4. Step 4: Simplify right side
    82,974.20x = 5,402,116,244.93
  5. Step 5: Solve for x
    x = 5,402,116,244.93/82,974.20
  6. Step 6: Final answer
    x = 65,105.98

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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.