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Finding the Fourth Proportional to 90,447.64, 135,621.74 and 71,846.80

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Solution

The fourth proportional to 90,447.64, 135,621.74 and 71,846.80 is: 107,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,447.64 : 135,621.74 = 71,846.80 : x
  2. Step 2: Convert to fraction form
    90,447.64/135,621.74 = 71,846.80/x
  3. Step 3: Cross multiply
    90,447.64x = 135,621.74 × 71,846.80
  4. Step 4: Simplify right side
    90,447.64x = 9,743,988,029.43
  5. Step 5: Solve for x
    x = 9,743,988,029.43/90,447.64
  6. Step 6: Final answer
    x = 107,730.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.