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Finding the Fourth Proportional to 74,245, 102,462.99 and 40,711

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Solution

The fourth proportional to 74,245, 102,462.99 and 40,711 is: 56,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,245 : 102,462.99 = 40,711 : x
  2. Step 2: Convert to fraction form
    74,245/102,462.99 = 40,711/x
  3. Step 3: Cross multiply
    74,245x = 102,462.99 × 40,711
  4. Step 4: Simplify right side
    74,245x = 4,171,370,785.89
  5. Step 5: Solve for x
    x = 4,171,370,785.89/74,245
  6. Step 6: Final answer
    x = 56,183.86

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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.