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Finding the Fourth Proportional to 74,619, 102,974.22 and 41,085

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Solution

The fourth proportional to 74,619, 102,974.22 and 41,085 is: 56,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,619 : 102,974.22 = 41,085 : x
  2. Step 2: Convert to fraction form
    74,619/102,974.22 = 41,085/x
  3. Step 3: Cross multiply
    74,619x = 102,974.22 × 41,085
  4. Step 4: Simplify right side
    74,619x = 4,230,695,828.70
  5. Step 5: Solve for x
    x = 4,230,695,828.70/74,619
  6. Step 6: Final answer
    x = 56,697.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.