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Finding the Fourth Proportional to 49,674, 74,511.18 and 47,182.44

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Solution

The fourth proportional to 49,674, 74,511.18 and 47,182.44 is: 70,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674 : 74,511.18 = 47,182.44 : x
  2. Step 2: Convert to fraction form
    49,674/74,511.18 = 47,182.44/x
  3. Step 3: Cross multiply
    49,674x = 74,511.18 × 47,182.44
  4. Step 4: Simplify right side
    49,674x = 3,515,619,279.68
  5. Step 5: Solve for x
    x = 3,515,619,279.68/49,674
  6. Step 6: Final answer
    x = 70,773.83

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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.